36742448108080 has 320 divisors, whose sum is σ = 107090200788480. Its totient is φ = 11523957350400.

The previous prime is 36742448108077. The next prime is 36742448108111. The reversal of 36742448108080 is 8080184424763.

It is a super-2 number, since 2×36742448108080² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

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 63 ways as a sum of consecutive naturals, for example, 14709475 + ... + 17025085.

It is an arithmetic number, because the mean of its divisors is an integer number (334656877464).

Almost surely, 2^{36742448108080} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36742448108080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53545100394240).

36742448108080 is an abundant number, since it is smaller than the sum of its proper divisors (70347752680400).

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

36742448108080 is a wasteful number, since it uses less digits than its factorization.

36742448108080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315740 (or 2315734 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 55.

The spelling of 36742448108080 in words is "thirty-six trillion, seven hundred forty-two billion, four hundred forty-eight million, one hundred eight thousand, eighty".