37794838366960 has 80 divisors (see below), whose sum is σ = 88752709034496. Its totient is φ = 14966675345664.

The previous prime is 37794838366937. The next prime is 37794838366963. The reversal of 37794838366960 is 6966383849773.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37794838366963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26894077 + ... + 28264483.

Almost surely, 2^{37794838366960} 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 37794838366960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44376354517248).

37794838366960 is an abundant number, since it is smaller than the sum of its proper divisors (50957870667536).

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

37794838366960 is a wasteful number, since it uses less digits than its factorization.

37794838366960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373870 (or 1373864 counting only the distinct ones).

The product of its (nonzero) digits is 5925685248, while the sum is 79.

The spelling of 37794838366960 in words is "thirty-seven trillion, seven hundred ninety-four billion, eight hundred thirty-eight million, three hundred sixty-six thousand, nine hundred sixty".