84612904320 has 256 divisors, whose sum is σ = 314793216000. Its totient is φ = 18928459776.

The previous prime is 84612904303. The next prime is 84612904393. The reversal of 84612904320 is 2340921648.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 564706 + ... + 698654.

It is an arithmetic number, because the mean of its divisors is an integer number (1229661000).

Almost surely, 2^84612904320 is an apocalyptic number.

84612904320 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 84612904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157396608000).

84612904320 is an abundant number, since it is smaller than the sum of its proper divisors (230180311680).

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

84612904320 is a wasteful number, since it uses less digits than its factorization.

84612904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134025 (or 134013 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 84612904320 in words is "eighty-four billion, six hundred twelve million, nine hundred four thousand, three hundred twenty".