4523631840 has 768 divisors, whose sum is σ = 20077424640. Its totient is φ = 925655040.

The previous prime is 4523631811. The next prime is 4523631859. The reversal of 4523631840 is 481363254.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 4523631795 and 4523631804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14545285 + ... + 14545595.

It is an arithmetic number, because the mean of its divisors is an integer number (26142480).

Almost surely, 2^4523631840 is an apocalyptic number.

4523631840 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 4523631840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10038712320).

4523631840 is an abundant number, since it is smaller than the sum of its proper divisors (15553792800).

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

4523631840 is a wasteful number, since it uses less digits than its factorization.

4523631840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4523631840 is about 67257.9500133627. The cubic root of 4523631840 is about 1653.8486029823.

The spelling of 4523631840 in words is "four billion, five hundred twenty-three million, six hundred thirty-one thousand, eight hundred forty".