4965164160 has 256 divisors, whose sum is σ = 18282153600. Its totient is φ = 1132789760.

The previous prime is 4965164147. The next prime is 4965164161. The reversal of 4965164160 is 614615694.

It is not an unprimeable number, because it can be changed into a prime (4965164161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352126 + ... + 365954.

Almost surely, 2^4965164160 is an apocalyptic number.

4965164160 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 4965164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9141076800).

4965164160 is an abundant number, since it is smaller than the sum of its proper divisors (13316989440).

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

4965164160 is a wasteful number, since it uses less digits than its factorization.

4965164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13879 (or 13867 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 4965164160 is about 70463.9209808821. The cubic root of 4965164160 is about 1705.9954581713.

The spelling of 4965164160 in words is "four billion, nine hundred sixty-five million, one hundred sixty-four thousand, one hundred sixty".