4707409379904 has 2240 divisors, whose sum is σ = 20074957056000. Its totient is φ = 1051783004160.

The previous prime is 4707409379903. The next prime is 4707409379909. The reversal of 4707409379904 is 4099739047074.

4707409379904 is a `hidden beast` number, since 4 + 70 + 7 + 409 + 3 + 79 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4707409379903) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3739006027 + ... + 3739007285.

It is an arithmetic number, because the mean of its divisors is an integer number (8962034400).

Almost surely, 2^{4707409379904} is an apocalyptic number.

4707409379904 is a gapful number since it is divisible by the number (44) 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 4707409379904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10037478528000).

4707409379904 is an abundant number, since it is smaller than the sum of its proper divisors (15367547676096).

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

4707409379904 is a wasteful number, since it uses less digits than its factorization.

4707409379904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 4707409379904 in words is "four trillion, seven hundred seven billion, four hundred nine million, three hundred seventy-nine thousand, nine hundred four".