128762726400 has 1728 divisors, whose sum is σ = 608361062400. Its totient is φ = 25214976000.

The previous prime is 128762726399. The next prime is 128762726437. The reversal of 128762726400 is 4627267821.

It is a happy number.

128762726400 is a `hidden beast` number, since 12 + 8 + 7 + 627 + 2 + 6 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×128762726400² (a number of 23 digits) contains 22 as substring.

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

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, 674150305 + ... + 674150495.

It is an arithmetic number, because the mean of its divisors is an integer number (352060800).

Almost surely, 2^128762726400 is an apocalyptic number.

128762726400 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 128762726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304180531200).

128762726400 is an abundant number, since it is smaller than the sum of its proper divisors (479598336000).

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

128762726400 is a wasteful number, since it uses less digits than its factorization.

128762726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 128762726400 in words is "one hundred twenty-eight billion, seven hundred sixty-two million, seven hundred twenty-six thousand, four hundred".