8534063784960 has 3960 divisors, whose sum is σ = 40375675834560. Its totient is φ = 1710610513920.

The previous prime is 8534063784947. The next prime is 8534063784989. The reversal of 8534063784960 is 694873604358.

8534063784960 is a `hidden beast` number, since 8 + 534 + 0 + 6 + 3 + 7 + 8 + 4 + 96 + 0 = 666.

It is a super-2 number, since 2×8534063784960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 275292380145 + ... + 275292380175.

It is an arithmetic number, because the mean of its divisors is an integer number (10195877736).

Almost surely, 2^{8534063784960} is an apocalyptic number.

8534063784960 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 8534063784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20187837917280).

8534063784960 is an abundant number, since it is smaller than the sum of its proper divisors (31841612049600).

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

8534063784960 is a wasteful number, since it uses less digits than its factorization.

8534063784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 8534063784960 in words is "eight trillion, five hundred thirty-four billion, sixty-three million, seven hundred eighty-four thousand, nine hundred sixty".