479277657600 has 960 divisors, whose sum is σ = 1888044871680. Its totient is φ = 104870707200.

The previous prime is 479277657589. The next prime is 479277657601. The reversal of 479277657600 is 6756772974.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479277657601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 941606146 + ... + 941606654.

It is an arithmetic number, because the mean of its divisors is an integer number (1966713408).

Almost surely, 2^479277657600 is an apocalyptic number.

479277657600 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 479277657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944022435840).

479277657600 is an abundant number, since it is smaller than the sum of its proper divisors (1408767214080).

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

479277657600 is a wasteful number, since it uses less digits than its factorization.

479277657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 60.

The spelling of 479277657600 in words is "four hundred seventy-nine billion, two hundred seventy-seven million, six hundred fifty-seven thousand, six hundred".