100628397964800 has 2160 divisors, whose sum is σ = 397275073303680. Its totient is φ = 25203914588160.

The previous prime is 100628397964673. The next prime is 100628397964813. The reversal of 100628397964800 is 8469793826001.

100628397964800 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 2 + 83 + 9 + 79 + 6 + 480 + 0 = 666.

100628397964800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 113961945159 + ... + 113961946041.

It is an arithmetic number, because the mean of its divisors is an integer number (183923645048).

Almost surely, 2^{100628397964800} is an apocalyptic number.

100628397964800 is a gapful number since it is divisible by the number (10) 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 100628397964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198637536651840).

100628397964800 is an abundant number, since it is smaller than the sum of its proper divisors (296646675338880).

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

100628397964800 is an frugal number, since it uses more digits than its factorization.

100628397964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 100628397964800 in words is "one hundred trillion, six hundred twenty-eight billion, three hundred ninety-seven million, nine hundred sixty-four thousand, eight hundred".