4931768640 has 112 divisors (see below), whose sum is σ = 16040404800. Its totient is φ = 1283051520.

The previous prime is 4931768581. The next prime is 4931768669. The reversal of 4931768640 is 468671394.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4931768640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23290 + ... + 102009.

It is an arithmetic number, because the mean of its divisors is an integer number (143217900).

Almost surely, 2^4931768640 is an apocalyptic number.

4931768640 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 4931768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020202400).

4931768640 is an abundant number, since it is smaller than the sum of its proper divisors (11108636160).

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

4931768640 is a wasteful number, since it uses less digits than its factorization.

4931768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125360 (or 125350 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 4931768640 is about 70226.5522434357. The cubic root of 4931768640 is about 1702.1620289057.

The spelling of 4931768640 in words is "four billion, nine hundred thirty-one million, seven hundred sixty-eight thousand, six hundred forty".