37123712640 has 640 divisors, whose sum is σ = 152499726720. Its totient is φ = 8465264640.

The previous prime is 37123712629. The next prime is 37123712641. The reversal of 37123712640 is 4621732173.

37123712640 is a `hidden beast` number, since 3 + 7 + 1 + 2 + 3 + 7 + 1 + 2 + 640 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 37123712595 and 37123712604.

It is not an unprimeable number, because it can be changed into a prime (37123712641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88179630 + ... + 88180050.

It is an arithmetic number, because the mean of its divisors is an integer number (238280823).

Almost surely, 2^37123712640 is an apocalyptic number.

37123712640 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 37123712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76249863360).

37123712640 is an abundant number, since it is smaller than the sum of its proper divisors (115376014080).

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

37123712640 is an frugal number, since it uses more digits than its factorization.

37123712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 37123712640 in words is "thirty-seven billion, one hundred twenty-three million, seven hundred twelve thousand, six hundred forty".