4764004675600 has 45 divisors (see below), whose sum is σ = 11445626110903. Its totient is φ = 1905584408960.

The previous prime is 4764004675583. The next prime is 4764004675603. The reversal of 4764004675600 is 65764004674.

The square root of 4764004675600 is 2182660.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 60588837904 + 4703415837696 = 246148^2 + 2168736^2 .

It is a super-2 number, since 2×4764004675600² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4764004675603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43598634 + ... + 43707766.

Almost surely, 2^{4764004675600} is an apocalyptic number.

4764004675600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4764004675600 is the 2182660-th square number.

It is an amenable number.

4764004675600 is an abundant number, since it is smaller than the sum of its proper divisors (6681621435303).

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

4764004675600 is an frugal number, since it uses more digits than its factorization.

4764004675600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218284 (or 109140 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

Multiplying 4764004675600 by its sum of digits (49), we get a square (233436229104400 = 15278620²).

The spelling of 4764004675600 in words is "four trillion, seven hundred sixty-four billion, four million, six hundred seventy-five thousand, six hundred".