4965696960 has 448 divisors, whose sum is σ = 18802990080. Its totient is φ = 1086750720.

The previous prime is 4965696947. The next prime is 4965696971. The reversal of 4965696960 is 696965694.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4965696894 and 4965696903.

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, 18459706 + ... + 18459974.

It is an arithmetic number, because the mean of its divisors is an integer number (41970960).

Almost surely, 2^4965696960 is an apocalyptic number.

4965696960 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 4965696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9401495040).

4965696960 is an abundant number, since it is smaller than the sum of its proper divisors (13837293120).

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

4965696960 is a wasteful number, since it uses less digits than its factorization.

4965696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 60.

The square root of 4965696960 is about 70467.7015376548. The cubic root of 4965696960 is about 1706.0564780986.

The spelling of 4965696960 in words is "four billion, nine hundred sixty-five million, six hundred ninety-six thousand, nine hundred sixty".