44676149760 has 480 divisors, whose sum is σ = 169597359360. Its totient is φ = 10779033600.

The previous prime is 44676149747. The next prime is 44676149767. The reversal of 44676149760 is 6794167644.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 44676149697 and 44676149706.

It is not an unprimeable number, because it can be changed into a prime (44676149767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103656745 + ... + 103657175.

It is an arithmetic number, because the mean of its divisors is an integer number (353327832).

Almost surely, 2^44676149760 is an apocalyptic number.

44676149760 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 44676149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84798679680).

44676149760 is an abundant number, since it is smaller than the sum of its proper divisors (124921209600).

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

44676149760 is a wasteful number, since it uses less digits than its factorization.

44676149760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 44676149760 in words is "forty-four billion, six hundred seventy-six million, one hundred forty-nine thousand, seven hundred sixty".