36763574400 has 864 divisors, whose sum is σ = 159511010880. Its totient is φ = 7896268800.

The previous prime is 36763574357. The next prime is 36763574401. The reversal of 36763574400 is 447536763.

36763574400 is a `hidden beast` number, since 3 + 6 + 7 + 635 + 7 + 4 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (36763574401) 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 107 ways as a sum of consecutive naturals, for example, 58262085 + ... + 58262715.

Almost surely, 2^36763574400 is an apocalyptic number.

36763574400 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 36763574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79755505440).

36763574400 is an abundant number, since it is smaller than the sum of its proper divisors (122747436480).

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

36763574400 is a wasteful number, since it uses less digits than its factorization.

36763574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 36763574400 in words is "thirty-six billion, seven hundred sixty-three million, five hundred seventy-four thousand, four hundred".