37827028512 has 672 divisors, whose sum is σ = 139560115968. Its totient is φ = 9822394368.

The previous prime is 37827028511. The next prime is 37827028523. The reversal of 37827028512 is 21582072873.

37827028512 is a `hidden beast` number, since 37 + 82 + 7 + 0 + 28 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (37827028511) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 218653258 + ... + 218653430.

It is an arithmetic number, because the mean of its divisors is an integer number (207678744).

Almost surely, 2^37827028512 is an apocalyptic number.

37827028512 is a gapful number since it is divisible by the number (32) 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 37827028512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69780057984).

37827028512 is an abundant number, since it is smaller than the sum of its proper divisors (101733087456).

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

37827028512 is a wasteful number, since it uses less digits than its factorization.

37827028512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 37827028512 in words is "thirty-seven billion, eight hundred twenty-seven million, twenty-eight thousand, five hundred twelve".