44464865760 has 360 divisors, whose sum is σ = 182546761320. Its totient is φ = 10163252736.

The previous prime is 44464865707. The next prime is 44464865803. The reversal of 44464865760 is 6756846444.

It is a happy number.

44464865760 is a `hidden beast` number, since 4 + 4 + 4 + 64 + 8 + 6 + 576 + 0 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 44464865697 and 44464865706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 600031 + ... + 670049.

It is an arithmetic number, because the mean of its divisors is an integer number (507074337).

Almost surely, 2^44464865760 is an apocalyptic number.

44464865760 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 44464865760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91273380660).

44464865760 is an abundant number, since it is smaller than the sum of its proper divisors (138081895560).

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

44464865760 is a wasteful number, since it uses less digits than its factorization.

44464865760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70060 (or 70036 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 44464865760 in words is "forty-four billion, four hundred sixty-four million, eight hundred sixty-five thousand, seven hundred sixty".