36773924873280 has 896 divisors, whose sum is σ = 140581055692800. Its totient is φ = 8134960619520.

The previous prime is 36773924873233. The next prime is 36773924873327. The reversal of 36773924873280 is 8237842937763.

It is an interprime number because it is at equal distance from previous prime (36773924873233) and next prime (36773924873327).

It is a super-4 number, since 4×36773924873280⁴ (a number of 55 digits) contains 4444 as substring.

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 127 ways as a sum of consecutive naturals, for example, 2327013859 + ... + 2327029661.

Almost surely, 2^{36773924873280} is an apocalyptic number.

36773924873280 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 36773924873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70290527846400).

36773924873280 is an abundant number, since it is smaller than the sum of its proper divisors (103807130819520).

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

36773924873280 is a wasteful number, since it uses less digits than its factorization.

36773924873280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16072 (or 16048 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 69.

The spelling of 36773924873280 in words is "thirty-six trillion, seven hundred seventy-three billion, nine hundred twenty-four million, eight hundred seventy-three thousand, two hundred eighty".