45276778800 has 360 divisors, whose sum is σ = 178862980608. Its totient is φ = 10498752000.

The previous prime is 45276778753. The next prime is 45276778801. The reversal of 45276778800 is 887767254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (45276778801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 885945 + ... + 935655.

Almost surely, 2^45276778800 is an apocalyptic number.

45276778800 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 45276778800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89431490304).

45276778800 is an abundant number, since it is smaller than the sum of its proper divisors (133586201808).

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

45276778800 is a wasteful number, since it uses less digits than its factorization.

45276778800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49769 (or 49755 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 45276778800 in words is "forty-five billion, two hundred seventy-six million, seven hundred seventy-eight thousand, eight hundred".