4638796800 has 792 divisors, whose sum is σ = 18702047040. Its totient is φ = 1002700800.

The previous prime is 4638796739. The next prime is 4638796861. The reversal of 4638796800 is 86978364.

It is an interprime number because it is at equal distance from previous prime (4638796739) and next prime (4638796861).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 244147191 + ... + 244147209.

Almost surely, 2^4638796800 is an apocalyptic number.

4638796800 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 4638796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9351023520).

4638796800 is an abundant number, since it is smaller than the sum of its proper divisors (14063250240).

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

4638796800 is a wasteful number, since it uses less digits than its factorization.

4638796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 4638796800 is about 68108.7130989861. The cubic root of 4638796800 is about 1667.7660018290.

The spelling of 4638796800 in words is "four billion, six hundred thirty-eight million, seven hundred ninety-six thousand, eight hundred".