4695636960 has 384 divisors, whose sum is σ = 19392307200. Its totient is φ = 1038458880.

The previous prime is 4695636949. The next prime is 4695636983. The reversal of 4695636960 is 696365964.

It is a happy number.

4695636960 is a `hidden beast` number, since 469 + 5 + 63 + 69 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4695636897 and 4695636906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 934936 + ... + 939944.

It is an arithmetic number, because the mean of its divisors is an integer number (50500800).

Almost surely, 2^4695636960 is an apocalyptic number.

4695636960 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 4695636960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9696153600).

4695636960 is an abundant number, since it is smaller than the sum of its proper divisors (14696670240).

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

4695636960 is a wasteful number, since it uses less digits than its factorization.

4695636960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5071 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The square root of 4695636960 is about 68524.7178761066. The cubic root of 4695636960 is about 1674.5501974808.

The spelling of 4695636960 in words is "four billion, six hundred ninety-five million, six hundred thirty-six thousand, nine hundred sixty".