4631332464 has 100 divisors (see below), whose sum is σ = 14623048440. Its totient is φ = 1403429760.

The previous prime is 4631332429. The next prime is 4631332469. The reversal of 4631332464 is 4642331364.

4631332464 is a `hidden beast` number, since 4 + 63 + 133 + 2 + 464 = 666.

It is a super-2 number, since 2×4631332464² = 42898480784200622592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4631332469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148179 + ... + 176690.

Almost surely, 2^4631332464 is an apocalyptic number.

4631332464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4631332464 is an abundant number, since it is smaller than the sum of its proper divisors (9991715976).

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

4631332464 is a wasteful number, since it uses less digits than its factorization.

4631332464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324900 (or 324885 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 4631332464 is about 68053.8938195310. The cubic root of 4631332464 is about 1666.8709817433.

The spelling of 4631332464 in words is "four billion, six hundred thirty-one million, three hundred thirty-two thousand, four hundred sixty-four".