68462444336832 has 1512 divisors, whose sum is σ = 253024978957920. Its totient is φ = 17634319073280.

The previous prime is 68462444336827. The next prime is 68462444336899. The reversal of 68462444336832 is 23863344426486.

68462444336832 is a `hidden beast` number, since 6 + 8 + 462 + 44 + 43 + 3 + 68 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 68462444336832.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 38268553794 + ... + 38268555582.

Almost surely, 2^{68462444336832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68462444336832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126512489478960).

68462444336832 is an abundant number, since it is smaller than the sum of its proper divisors (184562534621088).

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

68462444336832 is a wasteful number, since it uses less digits than its factorization.

68462444336832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 1998 counting only the distinct ones).

The product of its digits is 382205952, while the sum is 63.

The spelling of 68462444336832 in words is "sixty-eight trillion, four hundred sixty-two billion, four hundred forty-four million, three hundred thirty-six thousand, eight hundred thirty-two".