312720984576 has 1600 divisors, whose sum is σ = 1298972860416. Its totient is φ = 72559411200.

The previous prime is 312720984557. The next prime is 312720984599. The reversal of 312720984576 is 675489027213.

It is a happy number.

312720984576 is a `hidden beast` number, since 31 + 2 + 72 + 0 + 98 + 457 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10087773681 + ... + 10087773711.

It is a 1-persistent number, because it is pandigital, but 2⋅312720984576 = 625441969152 is not.

Almost surely, 2^312720984576 is an apocalyptic number.

312720984576 is a gapful number since it is divisible by the number (36) 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 312720984576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649486430208).

312720984576 is an abundant number, since it is smaller than the sum of its proper divisors (986251875840).

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

312720984576 is an frugal number, since it uses more digits than its factorization.

312720984576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 312720984576 in words is "three hundred twelve billion, seven hundred twenty million, nine hundred eighty-four thousand, five hundred seventy-six".