4595160960 has 384 divisors, whose sum is σ = 17275658400. Its totient is φ = 1118748672.

The previous prime is 4595160953. The next prime is 4595161019. The reversal of 4595160960 is 690615954.

It is a happy number.

4595160960 is a `hidden beast` number, since 45 + 9 + 516 + 0 + 96 + 0 = 666.

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

It is a super-2 number, since 2×4595160960² = 42231008496616243200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8161639 + ... + 8162201.

Almost surely, 2^4595160960 is an apocalyptic number.

4595160960 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 4595160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8637829200).

4595160960 is an abundant number, since it is smaller than the sum of its proper divisors (12680497440).

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

4595160960 is a wasteful number, since it uses less digits than its factorization.

4595160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 4595160960 is about 67787.6165682199. The cubic root of 4595160960 is about 1662.5201185498.

The spelling of 4595160960 in words is "four billion, five hundred ninety-five million, one hundred sixty thousand, nine hundred sixty".