36997632000 has 1248 divisors, whose sum is σ = 161595193344. Its totient is φ = 7962624000.

The previous prime is 36997631971. The next prime is 36997632011. The reversal of 36997632000 is 23679963.

36997632000 is a `hidden beast` number, since 3 + 6 + 9 + 9 + 7 + 632 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 999935982 + ... + 999936018.

It is an arithmetic number, because the mean of its divisors is an integer number (129483328).

Almost surely, 2^36997632000 is an apocalyptic number.

36997632000 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 36997632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80797596672).

36997632000 is an abundant number, since it is smaller than the sum of its proper divisors (124597561344).

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

36997632000 is a wasteful number, since it uses less digits than its factorization.

36997632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 36997632000 in words is "thirty-six billion, nine hundred ninety-seven million, six hundred thirty-two thousand".