37478987271360 has 1344 divisors, whose sum is σ = 151106358574080. Its totient is φ = 8785481564160.

The previous prime is 37478987271337. The next prime is 37478987271361. The reversal of 37478987271360 is 6317278987473.

37478987271360 is a `hidden beast` number, since 3 + 7 + 47 + 8 + 98 + 72 + 71 + 360 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (37478987271361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1783259572 + ... + 1783280588.

It is an arithmetic number, because the mean of its divisors is an integer number (112430326320).

Almost surely, 2^{37478987271360} is an apocalyptic number.

37478987271360 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 37478987271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75553179287040).

37478987271360 is an abundant number, since it is smaller than the sum of its proper divisors (113627371302720).

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

37478987271360 is a wasteful number, since it uses less digits than its factorization.

37478987271360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21156 (or 21134 counting only the distinct ones).

The product of its (nonzero) digits is 597445632, while the sum is 72.

The spelling of 37478987271360 in words is "thirty-seven trillion, four hundred seventy-eight billion, nine hundred eighty-seven million, two hundred seventy-one thousand, three hundred sixty".