79544382048 has 288 divisors, whose sum is σ = 245273333760. Its totient is φ = 25328609280.

The previous prime is 79544381963. The next prime is 79544382053. The reversal of 79544382048 is 84028344597.

79544382048 is a `hidden beast` number, since 7 + 9 + 544 + 38 + 20 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 79544381985 and 79544382003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19041336 + ... + 19045512.

It is an arithmetic number, because the mean of its divisors is an integer number (851643520).

Almost surely, 2^79544382048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79544382048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122636666880).

79544382048 is an abundant number, since it is smaller than the sum of its proper divisors (165728951712).

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

79544382048 is a wasteful number, since it uses less digits than its factorization.

79544382048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 79544382048 in words is "seventy-nine billion, five hundred forty-four million, three hundred eighty-two thousand, forty-eight".