44679390624 has 144 divisors (see below), whose sum is σ = 138734878464. Its totient is φ = 13526784000.

The previous prime is 44679390617. The next prime is 44679390629. The reversal of 44679390624 is 42609397644.

44679390624 is a `hidden beast` number, since 4 + 4 + 6 + 7 + 9 + 3 + 9 + 0 + 624 = 666.

It is a Cunningham number, because it is equal to 211375²-1.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (44679390629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3798897 + ... + 3810639.

It is an arithmetic number, because the mean of its divisors is an integer number (963436656).

Almost surely, 2^44679390624 is an apocalyptic number.

44679390624 is a gapful number since it is divisible by the number (44) 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 44679390624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69367439232).

44679390624 is an abundant number, since it is smaller than the sum of its proper divisors (94055487840).

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

44679390624 is a wasteful number, since it uses less digits than its factorization.

44679390624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12971 (or 12960 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 44679390624 in words is "forty-four billion, six hundred seventy-nine million, three hundred ninety thousand, six hundred twenty-four".