479420743680 has 1216 divisors, whose sum is σ = 1932731596800. Its totient is φ = 112113745920.

The previous prime is 479420743679. The next prime is 479420743721. The reversal of 479420743680 is 86347024974.

479420743680 is a `hidden beast` number, since 4 + 79 + 4 + 207 + 4 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1216).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15465185265 + ... + 15465185295.

Almost surely, 2^479420743680 is an apocalyptic number.

479420743680 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 479420743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966365798400).

479420743680 is an abundant number, since it is smaller than the sum of its proper divisors (1453310853120).

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

479420743680 is an equidigital number, since it uses as much as digits as its factorization.

479420743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 479420743680 in words is "four hundred seventy-nine billion, four hundred twenty million, seven hundred forty-three thousand, six hundred eighty".