479405744640 has 1600 divisors, whose sum is σ = 1940473801728. Its totient is φ = 112538419200.

The previous prime is 479405744627. The next prime is 479405744651. The reversal of 479405744640 is 46447504974.

It is a happy number.

479405744640 is a `hidden beast` number, since 4 + 7 + 9 + 4 + 0 + 574 + 4 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4480427467 + ... + 4480427573.

Almost surely, 2^479405744640 is an apocalyptic number.

479405744640 is a gapful number since it is divisible by the number (40) 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 479405744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970236900864).

479405744640 is an abundant number, since it is smaller than the sum of its proper divisors (1461068057088).

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

479405744640 is a wasteful number, since it uses less digits than its factorization.

479405744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 479405744640 in words is "four hundred seventy-nine billion, four hundred five million, seven hundred forty-four thousand, six hundred forty".