84008963665536 has 512 divisors, whose sum is σ = 295830552084480. Its totient is φ = 20509248798720.

The previous prime is 84008963665477. The next prime is 84008963665541. The reversal of 84008963665536 is 63556636980048.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23229166 + ... + 26600978.

It is an arithmetic number, because the mean of its divisors is an integer number (577794047040).

Almost surely, 2^{84008963665536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84008963665536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147915276042240).

84008963665536 is an abundant number, since it is smaller than the sum of its proper divisors (211821588418944).

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

84008963665536 is a wasteful number, since it uses less digits than its factorization.

84008963665536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371904 (or 3371892 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 69.

The spelling of 84008963665536 in words is "eighty-four trillion, eight billion, nine hundred sixty-three million, six hundred sixty-five thousand, five hundred thirty-six".