36987615360 has 1024 divisors, whose sum is σ = 147684902400. Its totient is φ = 8705802240.

The previous prime is 36987615317. The next prime is 36987615391. The reversal of 36987615360 is 6351678963.

36987615360 is a `hidden beast` number, since 36 + 9 + 8 + 76 + 1 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 36987615297 and 36987615306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 445633879 + ... + 445633961.

Almost surely, 2^36987615360 is an apocalyptic number.

36987615360 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 36987615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73842451200).

36987615360 is an abundant number, since it is smaller than the sum of its proper divisors (110697287040).

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

36987615360 is a wasteful number, since it uses less digits than its factorization.

36987615360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 36987615360 in words is "thirty-six billion, nine hundred eighty-seven million, six hundred fifteen thousand, three hundred sixty".