84382898688 has 480 divisors, whose sum is σ = 279388992960. Its totient is φ = 25120972800.

The previous prime is 84382898651. The next prime is 84382898689. The reversal of 84382898688 is 88689828348.

84382898688 is a `hidden beast` number, since 8 + 438 + 28 + 98 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84382898689) 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, 102034531 + ... + 102035357.

It is an arithmetic number, because the mean of its divisors is an integer number (582060402).

Almost surely, 2^84382898688 is an apocalyptic number.

84382898688 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 84382898688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139694496480).

84382898688 is an abundant number, since it is smaller than the sum of its proper divisors (195006094272).

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

84382898688 is a wasteful number, since it uses less digits than its factorization.

84382898688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 904 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 72.

The spelling of 84382898688 in words is "eighty-four billion, three hundred eighty-two million, eight hundred ninety-eight thousand, six hundred eighty-eight".