4636634400 has 864 divisors, whose sum is σ = 19040531328. Its totient is φ = 1094860800.

The previous prime is 4636634393. The next prime is 4636634411. The reversal of 4636634400 is 44366364.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76010370 + ... + 76010430.

It is an arithmetic number, because the mean of its divisors is an integer number (22037652).

Almost surely, 2^4636634400 is an apocalyptic number.

4636634400 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 4636634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9520265664).

4636634400 is an abundant number, since it is smaller than the sum of its proper divisors (14403896928).

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

4636634400 is a wasteful number, since it uses less digits than its factorization.

4636634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 4636634400 is about 68092.8366276512. The cubic root of 4636634400 is about 1667.5068155299.

The spelling of 4636634400 in words is "four billion, six hundred thirty-six million, six hundred thirty-four thousand, four hundred".