44520720076800 has 1248 divisors, whose sum is σ = 186181215068160. Its totient is φ = 10323483033600.

The previous prime is 44520720076787. The next prime is 44520720076801. The reversal of 44520720076800 is 867002702544.

It is a happy number.

44520720076800 is a `hidden beast` number, since 44 + 520 + 7 + 2 + 0 + 0 + 7 + 6 + 80 + 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 (44520720076801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 699462577 + ... + 699526223.

It is an arithmetic number, because the mean of its divisors is an integer number (149183665920).

Almost surely, 2^{44520720076800} is an apocalyptic number.

44520720076800 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 44520720076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93090607534080).

44520720076800 is an abundant number, since it is smaller than the sum of its proper divisors (141660494991360).

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

44520720076800 is a wasteful number, since it uses less digits than its factorization.

44520720076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63724 (or 63691 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 44520720076800 in words is "forty-four trillion, five hundred twenty billion, seven hundred twenty million, seventy-six thousand, eight hundred".