36773190720 has 252 divisors, whose sum is σ = 147135541644. Its totient is φ = 8405268480.

The previous prime is 36773190709. The next prime is 36773190803. The reversal of 36773190720 is 2709137763.

It can be written as a sum of positive squares in 2 ways, for example, as 12257146944 + 24516043776 = 110712^2 + 156576^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10830 + ... + 271410.

It is an arithmetic number, because the mean of its divisors is an integer number (583871197).

Almost surely, 2^36773190720 is an apocalyptic number.

36773190720 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 36773190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73567770822).

36773190720 is an abundant number, since it is smaller than the sum of its proper divisors (110362350924).

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

36773190720 is a wasteful number, since it uses less digits than its factorization.

36773190720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260618 (or 260598 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The spelling of 36773190720 in words is "thirty-six billion, seven hundred seventy-three million, one hundred ninety thousand, seven hundred twenty".