8534630744640 has 672 divisors, whose sum is σ = 39414489843456. Its totient is φ = 1637011537920.

The previous prime is 8534630744617. The next prime is 8534630744683. The reversal of 8534630744640 is 464470364358.

8534630744640 is a `hidden beast` number, since 8 + 53 + 4 + 63 + 0 + 74 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 1402654 + ... + 4363106.

It is an arithmetic number, because the mean of its divisors is an integer number (58652514648).

Almost surely, 2^{8534630744640} is an apocalyptic number.

8534630744640 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 8534630744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19707244921728).

8534630744640 is an abundant number, since it is smaller than the sum of its proper divisors (30879859098816).

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

8534630744640 is a wasteful number, since it uses less digits than its factorization.

8534630744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960507 (or 2960494 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 8534630744640 in words is "eight trillion, five hundred thirty-four billion, six hundred thirty million, seven hundred forty-four thousand, six hundred forty".