68989828377600 has 1584 divisors, whose sum is σ = 275884891716000. Its totient is φ = 16793828720640.

The previous prime is 68989828377563. The next prime is 68989828377629. The reversal of 68989828377600 is 677382898986.

68989828377600 is a `hidden beast` number, since 6 + 89 + 8 + 98 + 28 + 377 + 60 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 68989828377600.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 303919948687 + ... + 303919948913.

Almost surely, 2^{68989828377600} is an apocalyptic number.

68989828377600 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 68989828377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137942445858000).

68989828377600 is an abundant number, since it is smaller than the sum of its proper divisors (206895063338400).

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

68989828377600 is a wasteful number, since it uses less digits than its factorization.

68989828377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 81.

The spelling of 68989828377600 in words is "sixty-eight trillion, nine hundred eighty-nine billion, eight hundred twenty-eight million, three hundred seventy-seven thousand, six hundred".