4877637273600 has 1152 divisors, whose sum is σ = 19985960816640. Its totient is φ = 1021870080000.

The previous prime is 4877637273583. The next prime is 4877637273647. The reversal of 4877637273600 is 63727367784.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2110616445 + ... + 2110618755.

It is an arithmetic number, because the mean of its divisors is an integer number (17348924320).

Almost surely, 2^{4877637273600} is an apocalyptic number.

4877637273600 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 4877637273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9992980408320).

4877637273600 is an abundant number, since it is smaller than the sum of its proper divisors (15108323543040).

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

4877637273600 is a wasteful number, since it uses less digits than its factorization.

4877637273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 60.

The spelling of 4877637273600 in words is "four trillion, eight hundred seventy-seven billion, six hundred thirty-seven million, two hundred seventy-three thousand, six hundred".