45733766400 has 648 divisors, whose sum is σ = 193834024384. Its totient is φ = 10450944000.

The previous prime is 45733766341. The next prime is 45733766411. The reversal of 45733766400 is 466733754.

45733766400 is a `hidden beast` number, since 4 + 573 + 3 + 76 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10884300 + ... + 10888500.

Almost surely, 2^45733766400 is an apocalyptic number.

45733766400 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 45733766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96917012192).

45733766400 is an abundant number, since it is smaller than the sum of its proper divisors (148100257984).

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

45733766400 is an equidigital number, since it uses as much as digits as its factorization.

45733766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249 (or 4218 counting only the distinct ones).

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

The spelling of 45733766400 in words is "forty-five billion, seven hundred thirty-three million, seven hundred sixty-six thousand, four hundred".