479680629120 has 576 divisors, whose sum is σ = 2080784553120. Its totient is φ = 99672883200.

The previous prime is 479680629101. The next prime is 479680629143. The reversal of 479680629120 is 21926086974.

479680629120 is a `hidden beast` number, since 4 + 7 + 9 + 6 + 8 + 0 + 629 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 4829560 + ... + 4927880.

Almost surely, 2^479680629120 is an apocalyptic number.

479680629120 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 479680629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040392276560).

479680629120 is an abundant number, since it is smaller than the sum of its proper divisors (1601103924000).

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

479680629120 is a wasteful number, since it uses less digits than its factorization.

479680629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98375 (or 98349 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 479680629120 in words is "four hundred seventy-nine billion, six hundred eighty million, six hundred twenty-nine thousand, one hundred twenty".