84923424768 has 672 divisors, whose sum is σ = 294724141056. Its totient is φ = 21254897664.

The previous prime is 84923424767. The next prime is 84923424787. The reversal of 84923424768 is 86742432948.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (84923424767) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 668688321 + ... + 668688447.

Almost surely, 2^84923424768 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 84923424768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147362070528).

84923424768 is an abundant number, since it is smaller than the sum of its proper divisors (209800716288).

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

84923424768 is a wasteful number, since it uses less digits than its factorization.

84923424768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 175 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 57.

The spelling of 84923424768 in words is "eighty-four billion, nine hundred twenty-three million, four hundred twenty-four thousand, seven hundred sixty-eight".