36802252800 has 1092 divisors, whose sum is σ = 149869252620. Its totient is φ = 8918138880.

The previous prime is 36802252793. The next prime is 36802252831. The reversal of 36802252800 is 825220863.

36802252800 is a `hidden beast` number, since 36 + 80 + 22 + 528 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11943936 + 36790308864 = 3456^2 + 191808^2 .

It is a super-2 number, since 2×36802252800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 1269043186 + ... + 1269043214.

Almost surely, 2^36802252800 is an apocalyptic number.

36802252800 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 36802252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74934626310).

36802252800 is an abundant number, since it is smaller than the sum of its proper divisors (113066999820).

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

36802252800 is an equidigital number, since it uses as much as digits as its factorization.

36802252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 36802252800 in words is "thirty-six billion, eight hundred two million, two hundred fifty-two thousand, eight hundred".