36735893640 has 192 divisors, whose sum is σ = 128302911360. Its totient is φ = 9082275840.

The previous prime is 36735893609. The next prime is 36735893647. The reversal of 36735893640 is 4639853763.

It is not an unprimeable number, because it can be changed into a prime (36735893647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365245 + ... + 454835.

It is an arithmetic number, because the mean of its divisors is an integer number (668244330).

Almost surely, 2^36735893640 is an apocalyptic number.

36735893640 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 36735893640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64151455680).

36735893640 is an abundant number, since it is smaller than the sum of its proper divisors (91567017720).

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

36735893640 is a wasteful number, since it uses less digits than its factorization.

36735893640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89692 (or 89685 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 36735893640 in words is "thirty-six billion, seven hundred thirty-five million, eight hundred ninety-three thousand, six hundred forty".