312740330736960 has 896 divisors, whose sum is σ = 1270262171566080. Its totient is φ = 70953786777600.

The previous prime is 312740330736937. The next prime is 312740330736983. The reversal of 312740330736960 is 69637033047213.

312740330736960 is a `hidden beast` number, since 3 + 1 + 27 + 403 + 30 + 73 + 69 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (312740330736937) and next prime (312740330736983).

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

It is a junction number, because it is equal to n+sod(n) for n = 312740330736897 and 312740330736906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5325295117 + ... + 5325353843.

It is an arithmetic number, because the mean of its divisors is an integer number (1417703316480).

Almost surely, 2^{312740330736960} is an apocalyptic number.

312740330736960 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 312740330736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635131085783040).

312740330736960 is an abundant number, since it is smaller than the sum of its proper divisors (957521840829120).

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

312740330736960 is a wasteful number, since it uses less digits than its factorization.

312740330736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59412 (or 59396 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 54.

The spelling of 312740330736960 in words is "three hundred twelve trillion, seven hundred forty billion, three hundred thirty million, seven hundred thirty-six thousand, nine hundred sixty".