8140519505664 has 864 divisors, whose sum is σ = 30212630864640. Its totient is φ = 2143014838272.

The previous prime is 8140519505659. The next prime is 8140519505681. The reversal of 8140519505664 is 4665059150418.

It is a happy number.

8140519505664 is a `hidden beast` number, since 8 + 14 + 0 + 5 + 19 + 50 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 8140519505664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3007209399 + ... + 3007212105.

It is an arithmetic number, because the mean of its divisors is an integer number (34968322760).

Almost surely, 2^{8140519505664} is an apocalyptic number.

8140519505664 is a gapful number since it is divisible by the number (84) 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 8140519505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15106315432320).

8140519505664 is an abundant number, since it is smaller than the sum of its proper divisors (22072111358976).

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

8140519505664 is a wasteful number, since it uses less digits than its factorization.

8140519505664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 8140519505664 in words is "eight trillion, one hundred forty billion, five hundred nineteen million, five hundred five thousand, six hundred sixty-four".