312722354880 has 896 divisors, whose sum is σ = 1265822208000. Its totient is φ = 71998046208.

The previous prime is 312722354873. The next prime is 312722354933. The reversal of 312722354880 is 88453227213.

312722354880 is a `hidden beast` number, since 3 + 1 + 2 + 7 + 2 + 23 + 548 + 80 = 666.

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 127 ways as a sum of consecutive naturals, for example, 379978149 + ... + 379978971.

It is an arithmetic number, because the mean of its divisors is an integer number (1412748000).

Almost surely, 2^312722354880 is an apocalyptic number.

312722354880 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 312722354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632911104000).

312722354880 is an abundant number, since it is smaller than the sum of its proper divisors (953099853120).

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

312722354880 is a wasteful number, since it uses less digits than its factorization.

312722354880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 312722354880 in words is "three hundred twelve billion, seven hundred twenty-two million, three hundred fifty-four thousand, eight hundred eighty".