479777238720 has 448 divisors, whose sum is σ = 1881555271680. Its totient is φ = 114288537600.

The previous prime is 479777238701. The next prime is 479777238737. The reversal of 479777238720 is 27832777974.

479777238720 is a `hidden beast` number, since 479 + 7 + 77 + 23 + 8 + 72 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3413025 + ... + 3550815.

It is an arithmetic number, because the mean of its divisors is an integer number (4199900160).

Almost surely, 2^479777238720 is an apocalyptic number.

479777238720 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 479777238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940777635840).

479777238720 is an abundant number, since it is smaller than the sum of its proper divisors (1401778032960).

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

479777238720 is a wasteful number, since it uses less digits than its factorization.

479777238720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137861 (or 137845 counting only the distinct ones).

The product of its (nonzero) digits is 58084992, while the sum is 63.

The spelling of 479777238720 in words is "four hundred seventy-nine billion, seven hundred seventy-seven million, two hundred thirty-eight thousand, seven hundred twenty".