4680190944 has 216 divisors, whose sum is σ = 15756072696. Its totient is φ = 1309017600.

The previous prime is 4680190799. The next prime is 4680190961. The reversal of 4680190944 is 4490910864.

It is a super-2 number, since 2×4680190944² = 43808374544599222272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4680190944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 447859 + ... + 458189.

It is an arithmetic number, because the mean of its divisors is an integer number (72944781).

Almost surely, 2^4680190944 is an apocalyptic number.

4680190944 is a gapful number since it is divisible by the number (44) 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 4680190944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7878036348).

4680190944 is an abundant number, since it is smaller than the sum of its proper divisors (11075881752).

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

4680190944 is a wasteful number, since it uses less digits than its factorization.

4680190944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10382 (or 10360 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4680190944 is about 68411.9210664340. The cubic root of 4680190944 is about 1672.7120697392.

The spelling of 4680190944 in words is "four billion, six hundred eighty million, one hundred ninety thousand, nine hundred forty-four".