68988864000 has 480 divisors, whose sum is σ = 266855393376. Its totient is φ = 15766732800.

The previous prime is 68988863989. The next prime is 68988864013. The reversal of 68988864000 is 46888986.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9404334 + ... + 9411666.

Almost surely, 2^68988864000 is an apocalyptic number.

68988864000 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 68988864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133427696688).

68988864000 is an abundant number, since it is smaller than the sum of its proper divisors (197866529376).

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

68988864000 is an equidigital number, since it uses as much as digits as its factorization.

68988864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7383 (or 7350 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 68988864000 in words is "sixty-eight billion, nine hundred eighty-eight million, eight hundred sixty-four thousand".