84268872688 has 240 divisors, whose sum is σ = 223692870240. Its totient is φ = 30230323200.

The previous prime is 84268872683. The next prime is 84268872697. The reversal of 84268872688 is 88627886248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84268872683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63791068 + ... + 63792388.

It is an arithmetic number, because the mean of its divisors is an integer number (932053626).

Almost surely, 2^84268872688 is an apocalyptic number.

84268872688 is a gapful number since it is divisible by the number (88) 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 84268872688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111846435120).

84268872688 is an abundant number, since it is smaller than the sum of its proper divisors (139423997552).

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

84268872688 is a wasteful number, since it uses less digits than its factorization.

84268872688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1923 counting only the distinct ones).

The product of its digits is 132120576, while the sum is 67.

The spelling of 84268872688 in words is "eighty-four billion, two hundred sixty-eight million, eight hundred seventy-two thousand, six hundred eighty-eight".