79674582210048 has 2240 divisors, whose sum is σ = 289299949868160. Its totient is φ = 21441753907200.

The previous prime is 79674582210029. The next prime is 79674582210059. The reversal of 79674582210048 is 84001228547697.

It is a happy number.

79674582210048 is a `hidden beast` number, since 7 + 9 + 6 + 7 + 4 + 582 + 2 + 1 + 0 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 581566293436 + ... + 581566293572.

It is an arithmetic number, because the mean of its divisors is an integer number (129151763334).

Almost surely, 2^{79674582210048} 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 79674582210048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144649974934080).

79674582210048 is an abundant number, since it is smaller than the sum of its proper divisors (209625367658112).

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

79674582210048 is an equidigital number, since it uses as much as digits as its factorization.

79674582210048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 79674582210048 in words is "seventy-nine trillion, six hundred seventy-four billion, five hundred eighty-two million, two hundred ten thousand, forty-eight".