479032490958336 has 3200 divisors, whose sum is σ = 1820691468288000. Its totient is φ = 125006110064640.

The previous prime is 479032490958299. The next prime is 479032490958337. The reversal of 479032490958336 is 633859094230974.

479032490958336 is a `hidden beast` number, since 4 + 7 + 9 + 0 + 3 + 2 + 4 + 9 + 0 + 9 + 583 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479032490958337) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 601044530290 + ... + 601044531086.

It is an arithmetic number, because the mean of its divisors is an integer number (568966083840).

Almost surely, 2^{479032490958336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479032490958336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910345734144000).

479032490958336 is an abundant number, since it is smaller than the sum of its proper divisors (1341658977329664).

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

479032490958336 is an equidigital number, since it uses as much as digits as its factorization.

479032490958336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 72.

The spelling of 479032490958336 in words is "four hundred seventy-nine trillion, thirty-two billion, four hundred ninety million, nine hundred fifty-eight thousand, three hundred thirty-six".