63431709368832 has 1120 divisors, whose sum is σ = 230400466319232. Its totient is φ = 17031144996864.

The previous prime is 63431709368801. The next prime is 63431709368851. The reversal of 63431709368832 is 23886390713436.

63431709368832 is a `hidden beast` number, since 6 + 3 + 431 + 7 + 0 + 93 + 6 + 88 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 63431709368832.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 97138911418 + ... + 97138912070.

Almost surely, 2^{63431709368832} 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 63431709368832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200233159616).

63431709368832 is an abundant number, since it is smaller than the sum of its proper divisors (166968756950400).

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

63431709368832 is an frugal number, since it uses more digits than its factorization.

63431709368832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 63431709368832 in words is "sixty-three trillion, four hundred thirty-one billion, seven hundred nine million, three hundred sixty-eight thousand, eight hundred thirty-two".