4965364800 has 756 divisors, whose sum is σ = 20456840976. Its totient is φ = 1175731200.

The previous prime is 4965364783. The next prime is 4965364849. The reversal of 4965364800 is 84635694.

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 107 ways as a sum of consecutive naturals, for example, 115473579 + ... + 115473621.

Almost surely, 2^4965364800 is an apocalyptic number.

4965364800 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 4965364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10228420488).

4965364800 is an abundant number, since it is smaller than the sum of its proper divisors (15491476176).

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

4965364800 is an equidigital number, since it uses as much as digits as its factorization.

4965364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4965364800 is about 70465.3446738182. The cubic root of 4965364800 is about 1706.0184373590.

The spelling of 4965364800 in words is "four billion, nine hundred sixty-five million, three hundred sixty-four thousand, eight hundred".