312217500672 has 1408 divisors, whose sum is σ = 1221518592000. Its totient is φ = 78033715200.

The previous prime is 312217500523. The next prime is 312217500701. The reversal of 312217500672 is 276005712213.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 4276952028 + ... + 4276952100.

Almost surely, 2^312217500672 is an apocalyptic number.

312217500672 is a gapful number since it is divisible by the number (32) 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 312217500672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610759296000).

312217500672 is an abundant number, since it is smaller than the sum of its proper divisors (909301091328).

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

312217500672 is a wasteful number, since it uses less digits than its factorization.

312217500672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 312217500672 in words is "three hundred twelve billion, two hundred seventeen million, five hundred thousand, six hundred seventy-two".