4766625600 has 504 divisors, whose sum is σ = 17845003680. Its totient is φ = 1111756800.

The previous prime is 4766625559. The next prime is 4766625659. The reversal of 4766625600 is 65266674.

It is a super-2 number, since 2×4766625600² = 45441439221150720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16843059 + ... + 16843341.

Almost surely, 2^4766625600 is an apocalyptic number.

4766625600 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 4766625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8922501840).

4766625600 is an abundant number, since it is smaller than the sum of its proper divisors (13078378080).

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

4766625600 is a wasteful number, since it uses less digits than its factorization.

4766625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 4766625600 is about 69040.7531824501. The cubic root of 4766625600 is about 1682.9466427614.

The spelling of 4766625600 in words is "four billion, seven hundred sixty-six million, six hundred twenty-five thousand, six hundred".