4760566463200 has 72 divisors (see below), whose sum is σ = 11622088123128. Its totient is φ = 1904168378880.

The previous prime is 4760566463161. The next prime is 4760566463201. The reversal of 4760566463200 is 23646650674.

It is a happy number.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4760566463201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34148839 + ... + 34287961.

It is an arithmetic number, because the mean of its divisors is an integer number (161417890599).

Almost surely, 2^{4760566463200} is an apocalyptic number.

4760566463200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4760566463200 is an abundant number, since it is smaller than the sum of its proper divisors (6861521659928).

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

4760566463200 is a wasteful number, since it uses less digits than its factorization.

4760566463200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181916 (or 181903 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 49.

The spelling of 4760566463200 in words is "four trillion, seven hundred sixty billion, five hundred sixty-six million, four hundred sixty-three thousand, two hundred".