4915516320 has 768 divisors, whose sum is σ = 20676902400. Its totient is φ = 1074954240.

The previous prime is 4915516301. The next prime is 4915516343. The reversal of 4915516320 is 236155194.

4915516320 is a `hidden beast` number, since 4 + 9 + 15 + 5 + 1 + 632 + 0 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45096426 + ... + 45096534.

It is an arithmetic number, because the mean of its divisors is an integer number (26923050).

Almost surely, 2^4915516320 is an apocalyptic number.

4915516320 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 4915516320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10338451200).

4915516320 is an abundant number, since it is smaller than the sum of its proper divisors (15761386080).

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

4915516320 is a wasteful number, since it uses less digits than its factorization.

4915516320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 4915516320 is about 70110.7432566508. The cubic root of 4915516320 is about 1700.2901834513.

The spelling of 4915516320 in words is "four billion, nine hundred fifteen million, five hundred sixteen thousand, three hundred twenty".