44730977760 has 768 divisors, whose sum is σ = 189475614720. Its totient is φ = 9634775040.

The previous prime is 44730977749. The next prime is 44730977807. The reversal of 44730977760 is 6777903744.

It is a super-2 number, since 2×44730977760² (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 a junction number, because it is equal to n+sod(n) for n = 44730977697 and 44730977706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50772520 + ... + 50773400.

It is an arithmetic number, because the mean of its divisors is an integer number (246713040).

Almost surely, 2^44730977760 is an apocalyptic number.

44730977760 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 44730977760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94737807360).

44730977760 is an abundant number, since it is smaller than the sum of its proper divisors (144744636960).

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

44730977760 is a wasteful number, since it uses less digits than its factorization.

44730977760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 44730977760 in words is "forty-four billion, seven hundred thirty million, nine hundred seventy-seven thousand, seven hundred sixty".