44368663680 has 640 divisors, whose sum is σ = 178880011200. Its totient is φ = 10381271040.

The previous prime is 44368663673. The next prime is 44368663711. The reversal of 44368663680 is 8636686344.

44368663680 is a `hidden beast` number, since 443 + 6 + 86 + 63 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×44368663680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16535619 + ... + 16538301.

Almost surely, 2^44368663680 is an apocalyptic number.

44368663680 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 44368663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89440005600).

44368663680 is an abundant number, since it is smaller than the sum of its proper divisors (134511347520).

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

44368663680 is a wasteful number, since it uses less digits than its factorization.

44368663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 44368663680 in words is "forty-four billion, three hundred sixty-eight million, six hundred sixty-three thousand, six hundred eighty".