36500993760 has 1152 divisors, whose sum is σ = 158903990784. Its totient is φ = 6936330240.

The previous prime is 36500993729. The next prime is 36500993773. The reversal of 36500993760 is 6739900563.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 189124224 + ... + 189124416.

It is an arithmetic number, because the mean of its divisors is an integer number (137937492).

Almost surely, 2^36500993760 is an apocalyptic number.

36500993760 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 36500993760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79451995392).

36500993760 is an abundant number, since it is smaller than the sum of its proper divisors (122402997024).

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

36500993760 is a wasteful number, since it uses less digits than its factorization.

36500993760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 48.

The spelling of 36500993760 in words is "thirty-six billion, five hundred million, nine hundred ninety-three thousand, seven hundred sixty".