36992256000 has 576 divisors, whose sum is σ = 143320544640. Its totient is φ = 8446771200.

The previous prime is 36992255987. The next prime is 36992256001. The reversal of 36992256000 is 65229963.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (36992256001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37631509 + ... + 37632491.

It is an arithmetic number, because the mean of its divisors is an integer number (248820390).

Almost surely, 2^36992256000 is an apocalyptic number.

36992256000 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 36992256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71660272320).

36992256000 is an abundant number, since it is smaller than the sum of its proper divisors (106328288640).

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

36992256000 is an equidigital number, since it uses as much as digits as its factorization.

36992256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 36992256000 in words is "thirty-six billion, nine hundred ninety-two million, two hundred fifty-six thousand".