8479112140800 has 4032 divisors, whose sum is σ = 40279936919040. Its totient is φ = 1723748843520.

The previous prime is 8479112140781. The next prime is 8479112140853. The reversal of 8479112140800 is 80412119748.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 102157977559 + ... + 102157977641.

It is an arithmetic number, because the mean of its divisors is an integer number (9990063720).

Almost surely, 2^{8479112140800} is an apocalyptic number.

8479112140800 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 8479112140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20139968459520).

8479112140800 is an abundant number, since it is smaller than the sum of its proper divisors (31800824778240).

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

8479112140800 is a wasteful number, since it uses less digits than its factorization.

8479112140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 8479112140800 in words is "eight trillion, four hundred seventy-nine billion, one hundred twelve million, one hundred forty thousand, eight hundred".