45733636800 has 210 divisors, whose sum is σ = 168105821268. Its totient is φ = 12195601920.

The previous prime is 45733636763. The next prime is 45733636801. The reversal of 45733636800 is 863633754.

45733636800 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 3 + 636 + 8 + 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 (45733636801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 46842 + ... + 306041.

Almost surely, 2^45733636800 is an apocalyptic number.

45733636800 is a gapful number since it is divisible by the number (40) 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 45733636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84052910634).

45733636800 is an abundant number, since it is smaller than the sum of its proper divisors (122372184468).

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

45733636800 is a wasteful number, since it uses less digits than its factorization.

45733636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352917 (or 352893 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 45733636800 in words is "forty-five billion, seven hundred thirty-three million, six hundred thirty-six thousand, eight hundred".