4935117960 has 48 divisors (see below), whose sum is σ = 16039134540. Its totient is φ = 1316031360.

The previous prime is 4935117947. The next prime is 4935117961. The reversal of 4935117960 is 697115394.

4935117960 is a `hidden beast` number, since 4 + 9 + 3 + 511 + 79 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4933938564 + 1179396 = 70242^2 + 1086^2 .

It is a super-2 number, since 2×4935117960² = 48710778558229123200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4935117961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6853971 + ... + 6854690.

Almost surely, 2^4935117960 is an apocalyptic number.

4935117960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4935117960 is an abundant number, since it is smaller than the sum of its proper divisors (11104016580).

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

4935117960 is a wasteful number, since it uses less digits than its factorization.

4935117960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13708678 (or 13708671 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 4935117960 is about 70250.3947319871. The cubic root of 4935117960 is about 1702.5472723909.

The spelling of 4935117960 in words is "four billion, nine hundred thirty-five million, one hundred seventeen thousand, nine hundred sixty".