45076204800 has 324 divisors, whose sum is σ = 175810768224. Its totient is φ = 10927411200.

The previous prime is 45076204799. The next prime is 45076204829. The reversal of 45076204800 is 840267054.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 598029 + ... + 669171.

Almost surely, 2^45076204800 is an apocalyptic number.

45076204800 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 45076204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87905384112).

45076204800 is an abundant number, since it is smaller than the sum of its proper divisors (130734563424).

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

45076204800 is a wasteful number, since it uses less digits than its factorization.

45076204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71186 (or 71164 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 45076204800 in words is "forty-five billion, seventy-six million, two hundred four thousand, eight hundred".