83374375920 has 320 divisors, whose sum is σ = 293471216640. Its totient is φ = 19395174400.

The previous prime is 83374375873. The next prime is 83374375943. The reversal of 83374375920 is 2957347338.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12782260 + ... + 12788780.

It is an arithmetic number, because the mean of its divisors is an integer number (917097552).

Almost surely, 2^83374375920 is an apocalyptic number.

83374375920 is a gapful number since it is divisible by the number (80) 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 83374375920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146735608320).

83374375920 is an abundant number, since it is smaller than the sum of its proper divisors (210096840720).

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

83374375920 is a wasteful number, since it uses less digits than its factorization.

83374375920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6744 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 83374375920 in words is "eighty-three billion, three hundred seventy-four million, three hundred seventy-five thousand, nine hundred twenty".