6104876400 has 180 divisors, whose sum is σ = 24212233552. Its totient is φ = 1395394560.

The previous prime is 6104876387. The next prime is 6104876417. The reversal of 6104876400 is 46784016.

6104876400 is a `hidden beast` number, since 6 + 1 + 0 + 4 + 8 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95929 + ... + 146328.

Almost surely, 2^6104876400 is an apocalyptic number.

6104876400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6104876400 is an abundant number, since it is smaller than the sum of its proper divisors (18107357152).

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

6104876400 is a wasteful number, since it uses less digits than its factorization.

6104876400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242288 (or 242274 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6104876400 is about 78133.7084746398. The cubic root of 6104876400 is about 1827.6468904432.

The spelling of 6104876400 in words is "six billion, one hundred four million, eight hundred seventy-six thousand, four hundred".