373820935680 has 640 divisors, whose sum is σ = 1403164477440. Its totient is φ = 95318581248.

The previous prime is 373820935679. The next prime is 373820935693. The reversal of 373820935680 is 86539028373.

373820935680 is a `hidden beast` number, since 3 + 7 + 3 + 8 + 209 + 356 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 128769109 + ... + 128772011.

It is an arithmetic number, because the mean of its divisors is an integer number (2192444496).

Almost surely, 2^373820935680 is an apocalyptic number.

373820935680 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 373820935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701582238720).

373820935680 is an abundant number, since it is smaller than the sum of its proper divisors (1029343541760).

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

373820935680 is an frugal number, since it uses more digits than its factorization.

373820935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 373820935680 in words is "three hundred seventy-three billion, eight hundred twenty million, nine hundred thirty-five thousand, six hundred eighty".