8479381094400 has 768 divisors, whose sum is σ = 30649694008320. Its totient is φ = 2059193548800.

The previous prime is 8479381094363. The next prime is 8479381094413. The reversal of 8479381094400 is 44901839748.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×8479381094400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1295151927 + ... + 1295158473.

It is an arithmetic number, because the mean of its divisors is an integer number (39908455740).

Almost surely, 2^{8479381094400} is an apocalyptic number.

8479381094400 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 8479381094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15324847004160).

8479381094400 is an abundant number, since it is smaller than the sum of its proper divisors (22170312913920).

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

8479381094400 is a wasteful number, since it uses less digits than its factorization.

8479381094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6638 (or 6605 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 8479381094400 in words is "eight trillion, four hundred seventy-nine billion, three hundred eighty-one million, ninety-four thousand, four hundred".