36740083680 has 336 divisors, whose sum is σ = 130778114544. Its totient is φ = 9749237760.

The previous prime is 36740083651. The next prime is 36740083691. The reversal of 36740083680 is 8638004763.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28109587 + ... + 28110893.

It is an arithmetic number, because the mean of its divisors is an integer number (389220579).

Almost surely, 2^36740083680 is an apocalyptic number.

36740083680 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 36740083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65389057272).

36740083680 is an abundant number, since it is smaller than the sum of its proper divisors (94038030864).

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

36740083680 is a wasteful number, since it uses less digits than its factorization.

36740083680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 36740083680 in words is "thirty-six billion, seven hundred forty million, eighty-three thousand, six hundred eighty".