84515840640 has 1280 divisors, whose sum is σ = 389004042240. Its totient is φ = 16970342400.

The previous prime is 84515840611. The next prime is 84515840653. The reversal of 84515840640 is 4604851548.

It is a happy number.

84515840640 is a `hidden beast` number, since 8 + 4 + 5 + 1 + 584 + 0 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 123741739 + ... + 123742421.

It is an arithmetic number, because the mean of its divisors is an integer number (303909408).

Almost surely, 2^84515840640 is an apocalyptic number.

84515840640 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 84515840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194502021120).

84515840640 is an abundant number, since it is smaller than the sum of its proper divisors (304488201600).

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

84515840640 is a wasteful number, since it uses less digits than its factorization.

84515840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 84515840640 in words is "eighty-four billion, five hundred fifteen million, eight hundred forty thousand, six hundred forty".