8461546632 has 256 divisors, whose sum is σ = 29439590400. Its totient is φ = 2187648000.

The previous prime is 8461546631. The next prime is 8461546633. The reversal of 8461546632 is 2366451648.

8461546632 is a `hidden beast` number, since 8 + 4 + 6 + 1 + 5 + 4 + 6 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (8461546631) and next prime (8461546633).

It is not an unprimeable number, because it can be changed into a prime (8461546631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4007257 + ... + 4009367.

It is an arithmetic number, because the mean of its divisors is an integer number (114998400).

Almost surely, 2^8461546632 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 8461546632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14719795200).

8461546632 is an abundant number, since it is smaller than the sum of its proper divisors (20978043768).

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

8461546632 is a wasteful number, since it uses less digits than its factorization.

8461546632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2375 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 8461546632 is about 91986.6655119099. The cubic root of 8461546632 is about 2037.7453810734.

The spelling of 8461546632 in words is "eight billion, four hundred sixty-one million, five hundred forty-six thousand, six hundred thirty-two".