8610281472 has 384 divisors, whose sum is σ = 26637811200. Its totient is φ = 2452488192.

The previous prime is 8610281467. The next prime is 8610281503. The reversal of 8610281472 is 2741820168.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×8610281472³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 8610281472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78993354 + ... + 78993462.

It is an arithmetic number, because the mean of its divisors is an integer number (69369300).

Almost surely, 2^8610281472 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 8610281472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13318905600).

8610281472 is an abundant number, since it is smaller than the sum of its proper divisors (18027529728).

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

8610281472 is a wasteful number, since it uses less digits than its factorization.

8610281472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 8610281472 is about 92791.6023786636. The cubic root of 8610281472 is about 2049.6157496744.

The spelling of 8610281472 in words is "eight billion, six hundred ten million, two hundred eighty-one thousand, four hundred seventy-two".