6128612400 has 60 divisors (see below), whose sum is σ = 19631992232. Its totient is φ = 1634296320.

The previous prime is 6128612381. The next prime is 6128612411. The reversal of 6128612400 is 42168216.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2552389 + ... + 2554788.

Almost surely, 2^6128612400 is an apocalyptic number.

6128612400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6128612400 is an abundant number, since it is smaller than the sum of its proper divisors (13503379832).

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

6128612400 is a wasteful number, since it uses less digits than its factorization.

6128612400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107198 (or 5107187 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 6128612400 is about 78285.4545876819. The cubic root of 6128612400 is about 1830.0124816253.

The spelling of 6128612400 in words is "six billion, one hundred twenty-eight million, six hundred twelve thousand, four hundred".