4957616160 has 432 divisors, whose sum is σ = 20842652376. Its totient is φ = 1066254336.

The previous prime is 4957616159. The next prime is 4957616171. The reversal of 4957616160 is 616167594.

4957616160 is a `hidden beast` number, since 4 + 9 + 576 + 16 + 1 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4779233424 + 178382736 = 69132^2 + 13356^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1197454 + ... + 1201586.

Almost surely, 2^4957616160 is an apocalyptic number.

4957616160 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 4957616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10421326188).

4957616160 is an abundant number, since it is smaller than the sum of its proper divisors (15885036216).

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

4957616160 is a wasteful number, since it uses less digits than its factorization.

4957616160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 4957616160 is about 70410.3412859219. The cubic root of 4957616160 is about 1705.1305398514.

The spelling of 4957616160 in words is "four billion, nine hundred fifty-seven million, six hundred sixteen thousand, one hundred sixty".