84419599680 has 560 divisors, whose sum is σ = 325040817024. Its totient is φ = 20760053760.

The previous prime is 84419599613. The next prime is 84419599681. The reversal of 84419599680 is 8699591448.

84419599680 is a `hidden beast` number, since 8 + 4 + 419 + 59 + 96 + 80 = 666.

It is a super-2 number, since 2×84419599680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84419599681) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 81880765 + ... + 81881795.

Almost surely, 2^84419599680 is an apocalyptic number.

84419599680 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 84419599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162520408512).

84419599680 is an abundant number, since it is smaller than the sum of its proper divisors (240621217344).

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

84419599680 is an equidigital number, since it uses as much as digits as its factorization.

84419599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 84419599680 in words is "eighty-four billion, four hundred nineteen million, five hundred ninety-nine thousand, six hundred eighty".