637792081920 has 480 divisors, whose sum is σ = 2612646036000. Its totient is φ = 145779720192.

The previous prime is 637792081873. The next prime is 637792081943. The reversal of 637792081920 is 29180297736.

It is a tau number, because it is divible by the number of its divisors (480).

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 (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5751156 + ... + 5861004.

It is an arithmetic number, because the mean of its divisors is an integer number (5443012575).

Almost surely, 2^637792081920 is an apocalyptic number.

637792081920 is a gapful number since it is divisible by the number (60) 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 637792081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306323018000).

637792081920 is an abundant number, since it is smaller than the sum of its proper divisors (1974853954080).

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

637792081920 is a wasteful number, since it uses less digits than its factorization.

637792081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109895 (or 109866 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 637792081920 in words is "six hundred thirty-seven billion, seven hundred ninety-two million, eighty-one thousand, nine hundred twenty".