763301145672 has 96 divisors (see below), whose sum is σ = 2249246770680. Its totient is φ = 232440606720.

The previous prime is 763301145653. The next prime is 763301145697. The reversal of 763301145672 is 276541103367.

763301145672 is a `hidden beast` number, since 7 + 633 + 0 + 1 + 1 + 4 + 5 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 660764139876 + 102537005796 = 812874^2 + 320214^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4112779 + ... + 4294362.

Almost surely, 2^763301145672 is an apocalyptic number.

763301145672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

763301145672 is an abundant number, since it is smaller than the sum of its proper divisors (1485945625008).

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

763301145672 is a wasteful number, since it uses less digits than its factorization.

763301145672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8407263 (or 8407256 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 763301145672 in words is "seven hundred sixty-three billion, three hundred one million, one hundred forty-five thousand, six hundred seventy-two".