84642270768 has 480 divisors, whose sum is σ = 284793200640. Its totient is φ = 23164968960.

The previous prime is 84642270763. The next prime is 84642270773. The reversal of 84642270768 is 86707224648.

It is a happy number.

84642270768 is a `hidden beast` number, since 84 + 6 + 422 + 70 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (84642270763) and next prime (84642270773).

It is not an unprimeable number, because it can be changed into a prime (84642270763) 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, 220997905 + ... + 220998287.

It is an arithmetic number, because the mean of its divisors is an integer number (593319168).

Almost surely, 2^84642270768 is an apocalyptic number.

84642270768 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 84642270768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142396600320).

84642270768 is an abundant number, since it is smaller than the sum of its proper divisors (200150929872).

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

84642270768 is a wasteful number, since it uses less digits than its factorization.

84642270768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 84642270768 in words is "eighty-four billion, six hundred forty-two million, two hundred seventy thousand, seven hundred sixty-eight".