4631689440 has 576 divisors, whose sum is σ = 19360373760. Its totient is φ = 984268800.

The previous prime is 4631689429. The next prime is 4631689471. The reversal of 4631689440 is 449861364.

4631689440 is a `hidden beast` number, since 4 + 631 + 6 + 8 + 9 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25875271 + ... + 25875449.

It is an arithmetic number, because the mean of its divisors is an integer number (33611760).

Almost surely, 2^4631689440 is an apocalyptic number.

4631689440 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 4631689440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9680186880).

4631689440 is an abundant number, since it is smaller than the sum of its proper divisors (14728684320).

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

4631689440 is a wasteful number, since it uses less digits than its factorization.

4631689440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4631689440 is about 68056.5165138505. The cubic root of 4631689440 is about 1666.9138072622.

The spelling of 4631689440 in words is "four billion, six hundred thirty-one million, six hundred eighty-nine thousand, four hundred forty".