84006647424 has 672 divisors, whose sum is σ = 307567576800. Its totient is φ = 22715126784.

The previous prime is 84006647401. The next prime is 84006647437. The reversal of 84006647424 is 42474660048.

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

It is a super-2 number, since 2×84006647424² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84006647424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 86872989 + ... + 86873955.

Almost surely, 2^84006647424 is an apocalyptic number.

84006647424 is a gapful number since it is divisible by the number (84) 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 84006647424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153783788400).

84006647424 is an abundant number, since it is smaller than the sum of its proper divisors (223560929376).

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

84006647424 is an equidigital number, since it uses as much as digits as its factorization.

84006647424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 84006647424 in words is "eighty-four billion, six million, six hundred forty-seven thousand, four hundred twenty-four".