8461076393952 has 2304 divisors, whose sum is σ = 34430209228800. Its totient is φ = 1994980700160.

The previous prime is 8461076393941. The next prime is 8461076393981. The reversal of 8461076393952 is 2593936701648.

8461076393952 is a `hidden beast` number, since 8 + 4 + 610 + 7 + 6 + 3 + 9 + 3 + 9 + 5 + 2 = 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 8461076393952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13939170033 + ... + 13939170639.

It is an arithmetic number, because the mean of its divisors is an integer number (14943667200).

It is a 1-persistent number, because it is pandigital, but 2⋅8461076393952 = 16922152787904 is not.

Almost surely, 2^{8461076393952} 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 8461076393952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17215104614400).

8461076393952 is an abundant number, since it is smaller than the sum of its proper divisors (25969132834848).

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

8461076393952 is a wasteful number, since it uses less digits than its factorization.

8461076393952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 8461076393952 in words is "eight trillion, four hundred sixty-one billion, seventy-six million, three hundred ninety-three thousand, nine hundred fifty-two".