4631657472 has 264 divisors, whose sum is σ = 14642862416. Its totient is φ = 1401421824.

The previous prime is 4631657461. The next prime is 4631657473. The reversal of 4631657472 is 2747561364.

4631657472 is a `hidden beast` number, since 4 + 6 + 3 + 1 + 6 + 574 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4631657473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8026848 + ... + 8027424.

Almost surely, 2^4631657472 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 4631657472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321431208).

4631657472 is an abundant number, since it is smaller than the sum of its proper divisors (10011204944).

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

4631657472 is a wasteful number, since it uses less digits than its factorization.

4631657472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 662 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 4631657472 is about 68056.2816498227. The cubic root of 4631657472 is about 1666.9099722308.

The spelling of 4631657472 in words is "four billion, six hundred thirty-one million, six hundred fifty-seven thousand, four hundred seventy-two".