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68978870784 = 293331533037
BaseRepresentation
bin100000000111101110…
…1100000101000000000
320121001020220200221000
41000033131200220000
52112232042331114
651404412332000
74661234504355
oct1001735405000
9217036820830
1068978870784
112728785762a
1211450a74000
136673a20095
1434a516862c
151bdab58e09
hex100f760a00

68978870784 has 320 divisors, whose sum is σ = 214816250880. Its totient is φ = 21824225280.

The previous prime is 68978870783. The next prime is 68978870789. The reversal of 68978870784 is 48707887986.

It is a happy number.

It is a super-2 number, since 2×689788707842 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (68978870783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22711314 + ... + 22714350.

It is an arithmetic number, because the mean of its divisors is an integer number (671300784).

Almost surely, 268978870784 is an apocalyptic number.

68978870784 is a gapful number since it is divisible by the number (64) 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 68978870784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107408125440).

68978870784 is an abundant number, since it is smaller than the sum of its proper divisors (145837380096).

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

68978870784 is a wasteful number, since it uses less digits than its factorization.

68978870784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 72.

The spelling of 68978870784 in words is "sixty-eight billion, nine hundred seventy-eight million, eight hundred seventy thousand, seven hundred eighty-four".