4695672960 has 384 divisors, whose sum is σ = 18175959360. Its totient is φ = 1107025920.

The previous prime is 4695672937. The next prime is 4695672973. The reversal of 4695672960 is 692765964.

4695672960 is a `hidden beast` number, since 469 + 56 + 72 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 4695672897 and 4695672906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2343319 + ... + 2345321.

Almost surely, 2^4695672960 is an apocalyptic number.

4695672960 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 4695672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9087979680).

4695672960 is an abundant number, since it is smaller than the sum of its proper divisors (13480286400).

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

4695672960 is a wasteful number, since it uses less digits than its factorization.

4695672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 4695672960 is about 68524.9805545394. The cubic root of 4695672960 is about 1674.5544768898.

The spelling of 4695672960 in words is "four billion, six hundred ninety-five million, six hundred seventy-two thousand, nine hundred sixty".