68749766400 has 864 divisors, whose sum is σ = 277382246400. Its totient is φ = 14657126400.

The previous prime is 68749766377. The next prime is 68749766443. The reversal of 68749766400 is 466794786.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120825316 + ... + 120825884.

Almost surely, 2^68749766400 is an apocalyptic number.

68749766400 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 68749766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138691123200).

68749766400 is an abundant number, since it is smaller than the sum of its proper divisors (208632480000).

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

68749766400 is a wasteful number, since it uses less digits than its factorization.

68749766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 68749766400 in words is "sixty-eight billion, seven hundred forty-nine million, seven hundred sixty-six thousand, four hundred".