36736791840 has 480 divisors, whose sum is σ = 155977557120. Its totient is φ = 7954661376.

The previous prime is 36736791827. The next prime is 36736791857. The reversal of 36736791840 is 4819763763.

36736791840 is a `hidden beast` number, since 367 + 36 + 79 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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 79 ways as a sum of consecutive naturals, for example, 1713024 + ... + 1734336.

It is an arithmetic number, because the mean of its divisors is an integer number (324953244).

Almost surely, 2^36736791840 is an apocalyptic number.

36736791840 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 36736791840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77988778560).

36736791840 is an abundant number, since it is smaller than the sum of its proper divisors (119240765280).

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

36736791840 is a wasteful number, since it uses less digits than its factorization.

36736791840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21366 (or 21349 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 36736791840 in words is "thirty-six billion, seven hundred thirty-six million, seven hundred ninety-one thousand, eight hundred forty".