79446912480 has 960 divisors, whose sum is σ = 314735984640. Its totient is φ = 18748993536.

The previous prime is 79446912469. The next prime is 79446912491. The reversal of 79446912480 is 8421964497.

79446912480 is a `hidden beast` number, since 7 + 94 + 4 + 69 + 12 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (79446912469) and next prime (79446912491).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 625566177 + ... + 625566303.

It is an arithmetic number, because the mean of its divisors is an integer number (327849984).

Almost surely, 2^79446912480 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 79446912480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157367992320).

79446912480 is an abundant number, since it is smaller than the sum of its proper divisors (235289072160).

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

79446912480 is a wasteful number, since it uses less digits than its factorization.

79446912480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 79446912480 in words is "seventy-nine billion, four hundred forty-six million, nine hundred twelve thousand, four hundred eighty".