8459785152 has 560 divisors, whose sum is σ = 31392936960. Its totient is φ = 2193205248.

The previous prime is 8459785133. The next prime is 8459785153. The reversal of 8459785152 is 2515879548.

8459785152 is a `hidden beast` number, since 8 + 4 + 59 + 78 + 515 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4032000) is a multiple of the sum of its prime factors (350).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8459785153) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37267663 + ... + 37267889.

It is an arithmetic number, because the mean of its divisors is an integer number (56058816).

Almost surely, 2^8459785152 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 8459785152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15696468480).

8459785152 is an abundant number, since it is smaller than the sum of its proper divisors (22933151808).

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

8459785152 is a wasteful number, since it uses less digits than its factorization.

8459785152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 54.

The square root of 8459785152 is about 91977.0903649382. The cubic root of 8459785152 is about 2037.6039689102.

The spelling of 8459785152 in words is "eight billion, four hundred fifty-nine million, seven hundred eighty-five thousand, one hundred fifty-two".