79248841690480 has 960 divisors, whose sum is σ = 255051835637760. Its totient is φ = 22326264576000.

The previous prime is 79248841690441. The next prime is 79248841690483. The reversal of 79248841690480 is 8409614884297.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79248841690483) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2833641457 + ... + 2833669423.

It is an arithmetic number, because the mean of its divisors is an integer number (265678995456).

Almost surely, 2^{79248841690480} is an apocalyptic number.

79248841690480 is a gapful number since it is divisible by the number (70) 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 79248841690480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127525917818880).

79248841690480 is an abundant number, since it is smaller than the sum of its proper divisors (175802993947280).

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

79248841690480 is a wasteful number, since it uses less digits than its factorization.

79248841690480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28130 (or 28113 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 70.

The spelling of 79248841690480 in words is "seventy-nine trillion, two hundred forty-eight billion, eight hundred forty-one million, six hundred ninety thousand, four hundred eighty".