36791444880 has 240 divisors, whose sum is σ = 131265598464. Its totient is φ = 9202913280.

The previous prime is 36791444857. The next prime is 36791444917. The reversal of 36791444880 is 8844419763.

36791444880 is a `hidden beast` number, since 36 + 7 + 91 + 4 + 448 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×36791444880² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3752785 + ... + 3762575.

Almost surely, 2^36791444880 is an apocalyptic number.

36791444880 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 36791444880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65632799232).

36791444880 is an abundant number, since it is smaller than the sum of its proper divisors (94474153584).

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

36791444880 is a wasteful number, since it uses less digits than its factorization.

36791444880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10134 (or 10125 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

It can be divided in two parts, 36791 and 444880, that added together give a triangular number (481671 = T₉₈₁).

The spelling of 36791444880 in words is "thirty-six billion, seven hundred ninety-one million, four hundred forty-four thousand, eight hundred eighty".