84515028848640 has 2496 divisors, whose sum is σ = 341242434344448. Its totient is φ = 19183907635200.

The previous prime is 84515028848633. The next prime is 84515028848651. The reversal of 84515028848640 is 4684882051548.

84515028848640 is a `hidden beast` number, since 8 + 4 + 5 + 1 + 502 + 8 + 8 + 4 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 255332413275 + ... + 255332413605.

It is an arithmetic number, because the mean of its divisors is an integer number (136715718888).

Almost surely, 2^{84515028848640} is an apocalyptic number.

84515028848640 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 84515028848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170621217172224).

84515028848640 is an abundant number, since it is smaller than the sum of its proper divisors (256727405495808).

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

84515028848640 is a wasteful number, since it uses less digits than its factorization.

84515028848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 78643200, while the sum is 63.

The spelling of 84515028848640 in words is "eighty-four trillion, five hundred fifteen billion, twenty-eight million, eight hundred forty-eight thousand, six hundred forty".