4796625600 has 756 divisors, whose sum is σ = 19406606856. Its totient is φ = 1164533760.

The previous prime is 4796625583. The next prime is 4796625623. The reversal of 4796625600 is 65266974.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 65707164 + ... + 65707236.

Almost surely, 2^4796625600 is an apocalyptic number.

4796625600 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 4796625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9703303428).

4796625600 is an abundant number, since it is smaller than the sum of its proper divisors (14609981256).

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

4796625600 is a wasteful number, since it uses less digits than its factorization.

4796625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4796625600 is about 69257.6753869201. The cubic root of 4796625600 is about 1686.4699491622.

The spelling of 4796625600 in words is "four billion, seven hundred ninety-six million, six hundred twenty-five thousand, six hundred".