84493360296576 has 1536 divisors, whose sum is σ = 318228145804800. Its totient is φ = 21870391910400.

The previous prime is 84493360296539. The next prime is 84493360296661. The reversal of 84493360296576 is 67569206339448.

84493360296576 is a `hidden beast` number, since 8 + 4 + 4 + 9 + 3 + 3 + 602 + 9 + 6 + 5 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109305769726 + ... + 109305770498.

It is an arithmetic number, because the mean of its divisors is an integer number (207179782425).

Almost surely, 2^{84493360296576} 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 84493360296576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159114072902400).

84493360296576 is an abundant number, since it is smaller than the sum of its proper divisors (233734785508224).

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

84493360296576 is an equidigital number, since it uses as much as digits as its factorization.

84493360296576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 72.

The spelling of 84493360296576 in words is "eighty-four trillion, four hundred ninety-three billion, three hundred sixty million, two hundred ninety-six thousand, five hundred seventy-six".