6104579040 has 768 divisors, whose sum is σ = 26057687040. Its totient is φ = 1304709120.

The previous prime is 6104579029. The next prime is 6104579099. The reversal of 6104579040 is 409754016.

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

It is a junction number, because it is equal to n+sod(n) for n = 6104578986 and 6104579004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46599775 + ... + 46599905.

It is an arithmetic number, because the mean of its divisors is an integer number (33929280).

Almost surely, 2^6104579040 is an apocalyptic number.

6104579040 is a gapful number since it is divisible by the number (60) 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 6104579040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13028843520).

6104579040 is an abundant number, since it is smaller than the sum of its proper divisors (19953108000).

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

6104579040 is a wasteful number, since it uses less digits than its factorization.

6104579040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6104579040 is about 78131.8055595799. The cubic root of 6104579040 is about 1827.6172159192.

The spelling of 6104579040 in words is "six billion, one hundred four million, five hundred seventy-nine thousand, forty".