84765245288640 has 896 divisors, whose sum is σ = 319746788057088. Its totient is φ = 18622878842880.

The previous prime is 84765245288623. The next prime is 84765245288663. The reversal of 84765245288640 is 4688254256748.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24879729817 + ... + 24879733223.

It is an arithmetic number, because the mean of its divisors is an integer number (356860254528).

Almost surely, 2^{84765245288640} is an apocalyptic number.

84765245288640 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 84765245288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159873394028544).

84765245288640 is an abundant number, since it is smaller than the sum of its proper divisors (234981542768448).

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

84765245288640 is a wasteful number, since it uses less digits than its factorization.

84765245288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4785 (or 4775 counting only the distinct ones).

The product of its (nonzero) digits is 825753600, while the sum is 69.

The spelling of 84765245288640 in words is "eighty-four trillion, seven hundred sixty-five billion, two hundred forty-five million, two hundred eighty-eight thousand, six hundred forty".