37997268480 has 480 divisors, whose sum is σ = 144536936544. Its totient is φ = 9533915136.

The previous prime is 37997268467. The next prime is 37997268499. The reversal of 37997268480 is 8486279973.

37997268480 is a `hidden beast` number, since 3 + 7 + 9 + 97 + 2 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10573564 + ... + 10577156.

Almost surely, 2^37997268480 is an apocalyptic number.

37997268480 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 37997268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72268468272).

37997268480 is an abundant number, since it is smaller than the sum of its proper divisors (106539668064).

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

37997268480 is an equidigital number, since it uses as much as digits as its factorization.

37997268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 37997268480 in words is "thirty-seven billion, nine hundred ninety-seven million, two hundred sixty-eight thousand, four hundred eighty".