36631647360 has 2304 divisors, whose sum is σ = 182847974400. Its totient is φ = 6897623040.

The previous prime is 36631647347. The next prime is 36631647421. The reversal of 36631647360 is 6374613663.

36631647360 is a `hidden beast` number, since 3 + 6 + 631 + 6 + 4 + 7 + 3 + 6 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1592680309 + ... + 1592680331.

It is an arithmetic number, because the mean of its divisors is an integer number (79361100).

Almost surely, 2^36631647360 is an apocalyptic number.

36631647360 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 36631647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91423987200).

36631647360 is an abundant number, since it is smaller than the sum of its proper divisors (146216327040).

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

36631647360 is a wasteful number, since it uses less digits than its factorization.

36631647360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 36631647360 in words is "thirty-six billion, six hundred thirty-one million, six hundred forty-seven thousand, three hundred sixty".