68640618009600 has 3168 divisors, whose sum is σ = 317094121344000. Its totient is φ = 13796360847360.

The previous prime is 68640618009599. The next prime is 68640618009637. The reversal of 68640618009600 is 690081604686.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 48034021686 + ... + 48034023114.

Almost surely, 2^{68640618009600} is an apocalyptic number.

68640618009600 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 68640618009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158547060672000).

68640618009600 is an abundant number, since it is smaller than the sum of its proper divisors (248453503334400).

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

68640618009600 is a wasteful number, since it uses less digits than its factorization.

68640618009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 68640618009600 in words is "sixty-eight trillion, six hundred forty billion, six hundred eighteen million, nine thousand, six hundred".