84262102080 has 672 divisors, whose sum is σ = 310359942144. Its totient is φ = 19291963392.

The previous prime is 84262102079. The next prime is 84262102081. The reversal of 84262102080 is 8020126248.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84262102079) and next prime (84262102081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84262102081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 377856849 + ... + 377857071.

It is an arithmetic number, because the mean of its divisors is an integer number (461845152).

Almost surely, 2^84262102080 is an apocalyptic number.

84262102080 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 84262102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155179971072).

84262102080 is an abundant number, since it is smaller than the sum of its proper divisors (226097840064).

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

84262102080 is a wasteful number, since it uses less digits than its factorization.

84262102080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 84262102080 in words is "eighty-four billion, two hundred sixty-two million, one hundred two thousand, eighty".