8342613465600 has 960 divisors, whose sum is σ = 28989233856000. Its totient is φ = 2112222658560.

The previous prime is 8342613465581. The next prime is 8342613465671. The reversal of 8342613465600 is 65643162438.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8342613465600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22731916617 + ... + 22731916983.

It is an arithmetic number, because the mean of its divisors is an integer number (30197118600).

Almost surely, 2^{8342613465600} is an apocalyptic number.

8342613465600 is a gapful number since it is divisible by the number (80) 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 8342613465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14494616928000).

8342613465600 is an abundant number, since it is smaller than the sum of its proper divisors (20646620390400).

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

8342613465600 is a wasteful number, since it uses less digits than its factorization.

8342613465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 8342613465600 in words is "eight trillion, three hundred forty-two billion, six hundred thirteen million, four hundred sixty-five thousand, six hundred".