84706879334400 has 2016 divisors, whose sum is σ = 328673096388000. Its totient is φ = 21614224343040.

The previous prime is 84706879334327. The next prime is 84706879334431. The reversal of 84706879334400 is 443397860748.

It is a happy number.

84706879334400 is a `hidden beast` number, since 8 + 4 + 70 + 68 + 79 + 3 + 34 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 150456268519 + ... + 150456269081.

It is an arithmetic number, because the mean of its divisors is an integer number (163032289875).

Almost surely, 2^{84706879334400} is an apocalyptic number.

84706879334400 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 84706879334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164336548194000).

84706879334400 is an abundant number, since it is smaller than the sum of its proper divisors (243966217053600).

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

84706879334400 is a wasteful number, since it uses less digits than its factorization.

84706879334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 84706879334400 in words is "eighty-four trillion, seven hundred six billion, eight hundred seventy-nine million, three hundred thirty-four thousand, four hundred".