36773896320 has 960 divisors, whose sum is σ = 158032892160. Its totient is φ = 8116899840.

The previous prime is 36773896309. The next prime is 36773896321. The reversal of 36773896320 is 2369837763.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36773896321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 78744727 + ... + 78745193.

It is an arithmetic number, because the mean of its divisors is an integer number (164617596).

Almost surely, 2^36773896320 is an apocalyptic number.

36773896320 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 36773896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79016446080).

36773896320 is an abundant number, since it is smaller than the sum of its proper divisors (121258995840).

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

36773896320 is a wasteful number, since it uses less digits than its factorization.

36773896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 36773896320 in words is "thirty-six billion, seven hundred seventy-three million, eight hundred ninety-six thousand, three hundred twenty".