36987001632 has 360 divisors, whose sum is σ = 124289949420. Its totient is φ = 10431590400.

The previous prime is 36987001619. The next prime is 36987001669. The reversal of 36987001632 is 23610078963.

36987001632 is a `hidden beast` number, since 3 + 6 + 9 + 8 + 7 + 0 + 0 + 1 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36970060176 + 16941456 = 192276^2 + 4116^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 61542132 + ... + 61542732.

Almost surely, 2^36987001632 is an apocalyptic number.

36987001632 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 36987001632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62144974710).

36987001632 is an abundant number, since it is smaller than the sum of its proper divisors (87302947788).

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

36987001632 is an equidigital number, since it uses as much as digits as its factorization.

36987001632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 36987001632 in words is "thirty-six billion, nine hundred eighty-seven million, one thousand, six hundred thirty-two".