8461795464 has 256 divisors, whose sum is σ = 25740288000. Its totient is φ = 2565768960.

The previous prime is 8461795451. The next prime is 8461795487. The reversal of 8461795464 is 4645971648.

8461795464 is a `hidden beast` number, since 8 + 4 + 6 + 179 + 5 + 464 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 8461795464.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28879702 + ... + 28879994.

It is an arithmetic number, because the mean of its divisors is an integer number (100548000).

Almost surely, 2^8461795464 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 8461795464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12870144000).

8461795464 is an abundant number, since it is smaller than the sum of its proper divisors (17278492536).

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

8461795464 is a wasteful number, since it uses less digits than its factorization.

8461795464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 575 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 8461795464 is about 91988.0180458303. The cubic root of 8461795464 is about 2037.7653558018.

It can be divided in two parts, 84617 and 95464, that added together give a palindrome (180081).

The spelling of 8461795464 in words is "eight billion, four hundred sixty-one million, seven hundred ninety-five thousand, four hundred sixty-four".