68412496980960 has 1920 divisors, whose sum is σ = 280496151936000. Its totient is φ = 15529266708480.

The previous prime is 68412496980931. The next prime is 68412496980973. The reversal of 68412496980960 is 6908969421486.

68412496980960 is a `hidden beast` number, since 6 + 8 + 41 + 2 + 496 + 9 + 8 + 0 + 96 + 0 = 666.

It is a super-2 number, since 2×68412496980960² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 136008940069 + ... + 136008940571.

It is an arithmetic number, because the mean of its divisors is an integer number (146091745800).

Almost surely, 2^{68412496980960} is an apocalyptic number.

68412496980960 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 68412496980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140248075968000).

68412496980960 is an abundant number, since it is smaller than the sum of its proper divisors (212083654955040).

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

68412496980960 is a wasteful number, since it uses less digits than its factorization.

68412496980960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 68412496980960 in words is "sixty-eight trillion, four hundred twelve billion, four hundred ninety-six million, nine hundred eighty thousand, nine hundred sixty".