320016879000 has 1536 divisors, whose sum is σ = 1410864998400. Its totient is φ = 65666764800.

The previous prime is 320016878983. The next prime is 320016879001. The reversal of 320016879000 is 978610023.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320016879001) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 1373462884 + ... + 1373463116.

It is an arithmetic number, because the mean of its divisors is an integer number (918531900).

Almost surely, 2^320016879000 is an apocalyptic number.

320016879000 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 320016879000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705432499200).

320016879000 is an abundant number, since it is smaller than the sum of its proper divisors (1090848119400).

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

320016879000 is a wasteful number, since it uses less digits than its factorization.

320016879000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 320016879000 in words is "three hundred twenty billion, sixteen million, eight hundred seventy-nine thousand".