84392706816 has 576 divisors, whose sum is σ = 282974630400. Its totient is φ = 24584601600.

The previous prime is 84392706803. The next prime is 84392706857. The reversal of 84392706816 is 61860729348.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368526990 + ... + 368527218.

It is an arithmetic number, because the mean of its divisors is an integer number (491275400).

Almost surely, 2^84392706816 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 84392706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141487315200).

84392706816 is an abundant number, since it is smaller than the sum of its proper divisors (198581923584).

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

84392706816 is a wasteful number, since it uses less digits than its factorization.

84392706816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 84392706816 in words is "eighty-four billion, three hundred ninety-two million, seven hundred six thousand, eight hundred sixteen".