8564457240 has 192 divisors, whose sum is σ = 29298447360. Its totient is φ = 2249596800.

The previous prime is 8564457199. The next prime is 8564457263. The reversal of 8564457240 is 427544658.

8564457240 is a `hidden beast` number, since 8 + 564 + 45 + 7 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644665 + ... + 657815.

It is an arithmetic number, because the mean of its divisors is an integer number (152596080).

Almost surely, 2^8564457240 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 8564457240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14649223680).

8564457240 is an abundant number, since it is smaller than the sum of its proper divisors (20733990120).

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

8564457240 is a wasteful number, since it uses less digits than its factorization.

8564457240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13244 (or 13228 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 8564457240 is about 92544.3528260909. The cubic root of 8564457240 is about 2045.9732368942.

It can be divided in two parts, 85644 and 57240, that added together give a square (142884 = 378²).

The spelling of 8564457240 in words is "eight billion, five hundred sixty-four million, four hundred fifty-seven thousand, two hundred forty".