319682801700864 has 624 divisors, whose sum is σ = 1085894429577984. Its totient is φ = 88726929408000.

The previous prime is 319682801700863. The next prime is 319682801700887. The reversal of 319682801700864 is 468007108286913.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (319682801700863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381215229 + ... + 1381446659.

It is an arithmetic number, because the mean of its divisors is an integer number (1740215432016).

Almost surely, 2^{319682801700864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319682801700864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542947214788992).

319682801700864 is an abundant number, since it is smaller than the sum of its proper divisors (766211627877120).

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

319682801700864 is a wasteful number, since it uses less digits than its factorization.

319682801700864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231622 (or 231597 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 319682801700864 in words is "three hundred nineteen trillion, six hundred eighty-two billion, eight hundred one million, seven hundred thousand, eight hundred sixty-four".