37468813680 has 320 divisors, whose sum is σ = 135642270720. Its totient is φ = 9494682624.

The previous prime is 37468813663. The next prime is 37468813691. The reversal of 37468813680 is 8631886473.

37468813680 is a `hidden beast` number, since 374 + 68 + 8 + 136 + 80 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3431109 + ... + 3442011.

It is an arithmetic number, because the mean of its divisors is an integer number (423882096).

Almost surely, 2^37468813680 is an apocalyptic number.

37468813680 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 37468813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67821135360).

37468813680 is an abundant number, since it is smaller than the sum of its proper divisors (98173457040).

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

37468813680 is a wasteful number, since it uses less digits than its factorization.

37468813680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11005 (or 10993 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 37468813680 in words is "thirty-seven billion, four hundred sixty-eight million, eight hundred thirteen thousand, six hundred eighty".