44364775680 has 360 divisors, whose sum is σ = 159446814912. Its totient is φ = 11778379776.

The previous prime is 44364775643. The next prime is 44364775723. The reversal of 44364775680 is 8657746344.

44364775680 is a `hidden beast` number, since 4 + 4 + 3 + 6 + 4 + 77 + 568 + 0 = 666.

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

It is a super-2 number, since 2×44364775680² (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 39 ways as a sum of consecutive naturals, for example, 27267027 + ... + 27268653.

Almost surely, 2^44364775680 is an apocalyptic number.

44364775680 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 44364775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79723407456).

44364775680 is an abundant number, since it is smaller than the sum of its proper divisors (115082039232).

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

44364775680 is a wasteful number, since it uses less digits than its factorization.

44364775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 44364775680 in words is "forty-four billion, three hundred sixty-four million, seven hundred seventy-five thousand, six hundred eighty".