4766287125600 has 3456 divisors, whose sum is σ = 24066619637760. Its totient is φ = 883104768000.

The previous prime is 4766287125599. The next prime is 4766287125629. The reversal of 4766287125600 is 65217826674.

It is a happy number.

4766287125600 is a `hidden beast` number, since 4 + 7 + 6 + 6 + 2 + 8 + 7 + 1 + 25 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8713504527 + ... + 8713505073.

It is an arithmetic number, because the mean of its divisors is an integer number (6963720960).

Almost surely, 2^{4766287125600} is an apocalyptic number.

4766287125600 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 4766287125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12033309818880).

4766287125600 is an abundant number, since it is smaller than the sum of its proper divisors (19300332512160).

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

4766287125600 is a wasteful number, since it uses less digits than its factorization.

4766287125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 4766287125600 in words is "four trillion, seven hundred sixty-six billion, two hundred eighty-seven million, one hundred twenty-five thousand, six hundred".