44870664960 has 1152 divisors, whose sum is σ = 188822430720. Its totient is φ = 9968025600.

The previous prime is 44870664959. The next prime is 44870664967. The reversal of 44870664960 is 6946607844.

44870664960 is a `hidden beast` number, since 4 + 487 + 0 + 66 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 44870664897 and 44870664906.

It is not an unprimeable number, because it can be changed into a prime (44870664967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 342524095 + ... + 342524225.

It is an arithmetic number, because the mean of its divisors is an integer number (163908360).

Almost surely, 2^44870664960 is an apocalyptic number.

44870664960 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 44870664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94411215360).

44870664960 is an abundant number, since it is smaller than the sum of its proper divisors (143951765760).

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

44870664960 is a wasteful number, since it uses less digits than its factorization.

44870664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 44870664960 in words is "forty-four billion, eight hundred seventy million, six hundred sixty-four thousand, nine hundred sixty".