84842434560 has 312 divisors, whose sum is σ = 293986653984. Its totient is φ = 20881735680.

The previous prime is 84842434559. The next prime is 84842434561. The reversal of 84842434560 is 6543424848.

It is an interprime number because it is at equal distance from previous prime (84842434559) and next prime (84842434561).

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84842434561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10379275 + ... + 10387445.

Almost surely, 2^84842434560 is an apocalyptic number.

84842434560 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 84842434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146993326992).

84842434560 is an abundant number, since it is smaller than the sum of its proper divisors (209144219424).

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

84842434560 is a wasteful number, since it uses less digits than its factorization.

84842434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8229 (or 8194 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 48.

The spelling of 84842434560 in words is "eighty-four billion, eight hundred forty-two million, four hundred thirty-four thousand, five hundred sixty".