479951087616 has 2304 divisors, whose sum is σ = 2071899648000. Its totient is φ = 106274488320.

The previous prime is 479951087597. The next prime is 479951087641. The reversal of 479951087616 is 616780159974.

479951087616 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 5 + 1 + 0 + 8 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16550037490 + ... + 16550037518.

It is an arithmetic number, because the mean of its divisors is an integer number (899262000).

Almost surely, 2^479951087616 is an apocalyptic number.

479951087616 is a gapful number since it is divisible by the number (46) 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 479951087616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035949824000).

479951087616 is an abundant number, since it is smaller than the sum of its proper divisors (1591948560384).

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

479951087616 is a wasteful number, since it uses less digits than its factorization.

479951087616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 479951087616 in words is "four hundred seventy-nine billion, nine hundred fifty-one million, eighty-seven thousand, six hundred sixteen".