128644372800 has 672 divisors, whose sum is σ = 500892226560. Its totient is φ = 32039884800.

The previous prime is 128644372763. The next prime is 128644372847. The reversal of 128644372800 is 8273446821.

It is a happy number.

128644372800 is a `hidden beast` number, since 128 + 6 + 443 + 7 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 42723295 + ... + 42726305.

Almost surely, 2^128644372800 is an apocalyptic number.

128644372800 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 128644372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250446113280).

128644372800 is an abundant number, since it is smaller than the sum of its proper divisors (372247853760).

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

128644372800 is a wasteful number, since it uses less digits than its factorization.

128644372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 128644372800 in words is "one hundred twenty-eight billion, six hundred forty-four million, three hundred seventy-two thousand, eight hundred".