312736870080 has 448 divisors, whose sum is σ = 1142154362880. Its totient is φ = 80493170688.

The previous prime is 312736870067. The next prime is 312736870183. The reversal of 312736870080 is 80078637213.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40595509 + ... + 40603211.

Almost surely, 2^312736870080 is an apocalyptic number.

312736870080 is a gapful number since it is divisible by the number (30) 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 312736870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571077181440).

312736870080 is an abundant number, since it is smaller than the sum of its proper divisors (829417492800).

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

312736870080 is a wasteful number, since it uses less digits than its factorization.

312736870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7893 (or 7877 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 312736870080 in words is "three hundred twelve billion, seven hundred thirty-six million, eight hundred seventy thousand, eighty".