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68037388694880 = 253511232699972089
BaseRepresentation
bin11110111100001001100000…
…11000100111010101100000
322220220022101121012102010120
433132010300120213111200
532404211033001214010
6400411540032000240
720221352626551213
oct1736046030472540
9286808347172116
1068037388694880
111a751549207180
12776a127990080
132bc6b8a524337
1412b305483b77a
157cec1e139e70
hex3de130627560

68037388694880 has 768 divisors, whose sum is σ = 245236365158400. Its totient is φ = 15694853898240.

The previous prime is 68037388694851. The next prime is 68037388694893. The reversal of 68037388694880 is 8849688373086.

It is a happy number.

It is a hoax number, since the sum of its digits (78) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 68037388694796 and 68037388694805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32569356876 + ... + 32569358964.

It is an arithmetic number, because the mean of its divisors is an integer number (319318183800).

Almost surely, 268037388694880 is an apocalyptic number.

68037388694880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68037388694880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122618182579200).

68037388694880 is an abundant number, since it is smaller than the sum of its proper divisors (177198976463520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68037388694880 is a wasteful number, since it uses less digits than its factorization.

68037388694880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 2675441664, while the sum is 78.

The spelling of 68037388694880 in words is "sixty-eight trillion, thirty-seven billion, three hundred eighty-eight million, six hundred ninety-four thousand, eight hundred eighty".