36711920096640 has 768 divisors, whose sum is σ = 133930901744640. Its totient is φ = 9607403520000.

The previous prime is 36711920096633. The next prime is 36711920096681. The reversal of 36711920096640 is 4669002911763.

36711920096640 is a `hidden beast` number, since 367 + 1 + 19 + 200 + 9 + 6 + 64 + 0 = 666.

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

It is a congruent number.

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, 2823770140 + ... + 2823783140.

It is an arithmetic number, because the mean of its divisors is an integer number (174389194980).

Almost surely, 2^{36711920096640} is an apocalyptic number.

36711920096640 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 36711920096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66965450872320).

36711920096640 is an abundant number, since it is smaller than the sum of its proper divisors (97218981648000).

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

36711920096640 is a wasteful number, since it uses less digits than its factorization.

36711920096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13373 (or 13349 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 36711920096640 in words is "thirty-six trillion, seven hundred eleven billion, nine hundred twenty million, ninety-six thousand, six hundred forty".