44264263680 has 1404 divisors, whose sum is σ = 199930351140. Its totient is φ = 9017229312.

The previous prime is 44264263619. The next prime is 44264263717. The reversal of 44264263680 is 8636246244.

44264263680 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 4 + 2 + 636 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8352497664 + 35911766016 = 91392^2 + 189504^2 .

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 107 ways as a sum of consecutive naturals, for example, 1526353906 + ... + 1526353934.

It is an arithmetic number, because the mean of its divisors is an integer number (142400535).

Almost surely, 2^44264263680 is an apocalyptic number.

44264263680 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 44264263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99965175570).

44264263680 is an abundant number, since it is smaller than the sum of its proper divisors (155666087460).

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

44264263680 is a wasteful number, since it uses less digits than its factorization.

44264263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 44264263680 in words is "forty-four billion, two hundred sixty-four million, two hundred sixty-three thousand, six hundred eighty".