312474127680 has 3136 divisors, whose sum is σ = 1511152070400. Its totient is φ = 60197437440.

The previous prime is 312474127657. The next prime is 312474127681. The reversal of 312474127680 is 86721474213.

312474127680 is a `hidden beast` number, since 31 + 2 + 474 + 1 + 2 + 76 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312474127681) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 10774969906 + ... + 10774969934.

Almost surely, 2^312474127680 is an apocalyptic number.

312474127680 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 312474127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755576035200).

312474127680 is an abundant number, since it is smaller than the sum of its proper divisors (1198677942720).

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

312474127680 is a wasteful number, since it uses less digits than its factorization.

312474127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 312474127680 in words is "three hundred twelve billion, four hundred seventy-four million, one hundred twenty-seven thousand, six hundred eighty".