68646558046752 has 576 divisors, whose sum is σ = 226859802624000. Its totient is φ = 19285910784000.

The previous prime is 68646558046751. The next prime is 68646558046813. The reversal of 68646558046752 is 25764085564686.

68646558046752 is a `hidden beast` number, since 6 + 8 + 6 + 4 + 6 + 558 + 0 + 4 + 67 + 5 + 2 = 666.

It is a super-2 number, since 2×68646558046752² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

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 (68646558046751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34340448249 + ... + 34340450247.

It is an arithmetic number, because the mean of its divisors is an integer number (393853824000).

Almost surely, 2^{68646558046752} 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 68646558046752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113429901312000).

68646558046752 is an abundant number, since it is smaller than the sum of its proper divisors (158213244577248).

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

68646558046752 is a wasteful number, since it uses less digits than its factorization.

68646558046752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 2322432000, while the sum is 72.

The spelling of 68646558046752 in words is "sixty-eight trillion, six hundred forty-six billion, five hundred fifty-eight million, forty-six thousand, seven hundred fifty-two".