8066877506352 has 640 divisors, whose sum is σ = 29303581593600. Its totient is φ = 2070250389504.

The previous prime is 8066877506321. The next prime is 8066877506371. The reversal of 8066877506352 is 2536057786608.

It is a happy number.

8066877506352 is a `hidden beast` number, since 8 + 0 + 6 + 6 + 8 + 77 + 506 + 3 + 52 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8066877506352.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 540342024 + ... + 540356952.

It is an arithmetic number, because the mean of its divisors is an integer number (45786846240).

Almost surely, 2^{8066877506352} 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 8066877506352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651790796800).

8066877506352 is an abundant number, since it is smaller than the sum of its proper divisors (21236704087248).

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

8066877506352 is a wasteful number, since it uses less digits than its factorization.

8066877506352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15450 (or 15438 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 8066877506352 in words is "eight trillion, sixty-six billion, eight hundred seventy-seven million, five hundred six thousand, three hundred fifty-two".