68972329498800 has 2880 divisors, whose sum is σ = 302333982720000. Its totient is φ = 13271653785600.

The previous prime is 68972329498759. The next prime is 68972329498829. The reversal of 68972329498800 is 889492327986.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 138221100951 + ... + 138221101449.

Almost surely, 2^{68972329498800} is an apocalyptic number.

68972329498800 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 68972329498800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151166991360000).

68972329498800 is an abundant number, since it is smaller than the sum of its proper divisors (233361653221200).

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

68972329498800 is a wasteful number, since it uses less digits than its factorization.

68972329498800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 75.

The spelling of 68972329498800 in words is "sixty-eight trillion, nine hundred seventy-two billion, three hundred twenty-nine million, four hundred ninety-eight thousand, eight hundred".