84065690368 has 288 divisors, whose sum is σ = 196705926144. Its totient is φ = 35481600000.

The previous prime is 84065690363. The next prime is 84065690389. The reversal of 84065690368 is 86309656048.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (84065690363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464451238 + ... + 464451418.

It is an arithmetic number, because the mean of its divisors is an integer number (683006688).

Almost surely, 2^84065690368 is an apocalyptic number.

84065690368 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 84065690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98352963072).

84065690368 is an abundant number, since it is smaller than the sum of its proper divisors (112640235776).

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

84065690368 is a wasteful number, since it uses less digits than its factorization.

84065690368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 84065690368 in words is "eighty-four billion, sixty-five million, six hundred ninety thousand, three hundred sixty-eight".