4965400576 has 72 divisors (see below), whose sum is σ = 10173245544. Its totient is φ = 2422210560.

The previous prime is 4965400567. The next prime is 4965400577. The reversal of 4965400576 is 6750045694.

It is a super-2 number, since 2×4965400576² = 49310405760282263552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4965400577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5635656 + ... + 5636536.

It is an arithmetic number, because the mean of its divisors is an integer number (141295077).

Almost surely, 2^4965400576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4965400576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086622772).

4965400576 is an abundant number, since it is smaller than the sum of its proper divisors (5207844968).

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

4965400576 is an frugal number, since it uses more digits than its factorization.

4965400576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The square root of 4965400576 is about 70465.5985286437. The cubic root of 4965400576 is about 1706.0225346994.

It can be divided in two parts, 4965400 and 576, that added together give a triangular number (4965976 = T₃₁₅₁).

The spelling of 4965400576 in words is "four billion, nine hundred sixty-five million, four hundred thousand, five hundred seventy-six".