68364732274560 has 1536 divisors, whose sum is σ = 268677126144000. Its totient is φ = 16408897781760.

The previous prime is 68364732274519. The next prime is 68364732274603. The reversal of 68364732274560 is 6547223746386.

68364732274560 is a `hidden beast` number, since 6 + 8 + 3 + 6 + 47 + 3 + 2 + 27 + 4 + 560 = 666.

68364732274560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×68364732274560² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10901724225 + ... + 10901730495.

It is an arithmetic number, because the mean of its divisors is an integer number (174920004000).

Almost surely, 2^{68364732274560} is an apocalyptic number.

68364732274560 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 68364732274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134338563072000).

68364732274560 is an abundant number, since it is smaller than the sum of its proper divisors (200312393869440).

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

68364732274560 is a wasteful number, since it uses less digits than its factorization.

68364732274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6429 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 63.

The spelling of 68364732274560 in words is "sixty-eight trillion, three hundred sixty-four billion, seven hundred thirty-two million, two hundred seventy-four thousand, five hundred sixty".