500077670400 has 2496 divisors, whose sum is σ = 2398639334400. Its totient is φ = 100329062400.

The previous prime is 500077670399. The next prime is 500077670419. The reversal of 500077670400 is 4076770005.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17244057586 + ... + 17244057614.

Almost surely, 2^500077670400 is an apocalyptic number.

500077670400 is a gapful number since it is divisible by the number (50) 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 500077670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199319667200).

500077670400 is an abundant number, since it is smaller than the sum of its proper divisors (1898561664000).

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

500077670400 is an equidigital number, since it uses as much as digits as its factorization.

500077670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 500077670400 in words is "five hundred billion, seventy-seven million, six hundred seventy thousand, four hundred".