320938192872 has 288 divisors, whose sum is σ = 1006870344480. Its totient is φ = 94980574080.

The previous prime is 320938192871. The next prime is 320938192901. The reversal of 320938192872 is 278291839023.

320938192872 is a `hidden beast` number, since 320 + 9 + 38 + 1 + 9 + 287 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (320938192871) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39534958 + ... + 39543074.

It is an arithmetic number, because the mean of its divisors is an integer number (3496077585).

Almost surely, 2^320938192872 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 320938192872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503435172240).

320938192872 is an abundant number, since it is smaller than the sum of its proper divisors (685932151608).

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

320938192872 is a wasteful number, since it uses less digits than its factorization.

320938192872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8235 (or 8176 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 320938192872 in words is "three hundred twenty billion, nine hundred thirty-eight million, one hundred ninety-two thousand, eight hundred seventy-two".