84492405684960 has 1536 divisors, whose sum is σ = 356879880806400. Its totient is φ = 16296270888960.

The previous prime is 84492405684949. The next prime is 84492405685019. The reversal of 84492405684960 is 6948650429448.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6971889781 + ... + 6971901899.

It is an arithmetic number, because the mean of its divisors is an integer number (232343672400).

Almost surely, 2^{84492405684960} is an apocalyptic number.

84492405684960 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 84492405684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178439940403200).

84492405684960 is an abundant number, since it is smaller than the sum of its proper divisors (272387475121440).

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

84492405684960 is a wasteful number, since it uses less digits than its factorization.

84492405684960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12444 (or 12436 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 69.

The spelling of 84492405684960 in words is "eighty-four trillion, four hundred ninety-two billion, four hundred five million, six hundred eighty-four thousand, nine hundred sixty".