37983750966720 has 840 divisors, whose sum is σ = 154914480390384. Its totient is φ = 8799838175232.

The previous prime is 37983750966653. The next prime is 37983750966727. The reversal of 37983750966720 is 2766905738973.

37983750966720 is a `hidden beast` number, since 3 + 7 + 9 + 8 + 37 + 509 + 6 + 67 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37983750966727) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 74213127 + ... + 74723193.

Almost surely, 2^{37983750966720} is an apocalyptic number.

37983750966720 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 37983750966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77457240195192).

37983750966720 is an abundant number, since it is smaller than the sum of its proper divisors (116930729423664).

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

37983750966720 is a wasteful number, since it uses less digits than its factorization.

37983750966720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510139 (or 510107 counting only the distinct ones).

The product of its (nonzero) digits is 720135360, while the sum is 72.

The spelling of 37983750966720 in words is "thirty-seven trillion, nine hundred eighty-three billion, seven hundred fifty million, nine hundred sixty-six thousand, seven hundred twenty".