488691632520 has 768 divisors, whose sum is σ = 2045746160640. Its totient is φ = 98416041984.

The previous prime is 488691632453. The next prime is 488691632563. The reversal of 488691632520 is 25236196884.

488691632520 is a `hidden beast` number, since 4 + 8 + 86 + 9 + 1 + 6 + 32 + 520 = 666.

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, 64238557 + ... + 64246163.

It is an arithmetic number, because the mean of its divisors is an integer number (2663731980).

Almost surely, 2^488691632520 is an apocalyptic number.

488691632520 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 488691632520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022873080320).

488691632520 is an abundant number, since it is smaller than the sum of its proper divisors (1557054528120).

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

488691632520 is a wasteful number, since it uses less digits than its factorization.

488691632520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7734 (or 7727 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

It can be divided in two parts, 488691 and 632520, that added together give a palindrome (1121211).

The spelling of 488691632520 in words is "four hundred eighty-eight billion, six hundred ninety-one million, six hundred thirty-two thousand, five hundred twenty".