7085397564 has 240 divisors, whose sum is σ = 22606036992. Its totient is φ = 1889008128.

The previous prime is 7085397469. The next prime is 7085397623. The reversal of 7085397564 is 4657935807.

7085397564 is a `hidden beast` number, since 70 + 8 + 5 + 3 + 9 + 7 + 564 = 666.

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 7085397564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4895889 + ... + 4897335.

Almost surely, 2^7085397564 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 7085397564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11303018496).

7085397564 is an abundant number, since it is smaller than the sum of its proper divisors (15520639428).

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

7085397564 is a wasteful number, since it uses less digits than its factorization.

7085397564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 7085397564 is about 84174.8036172345. The cubic root of 7085397564 is about 1920.6787931956.

The spelling of 7085397564 in words is "seven billion, eighty-five million, three hundred ninety-seven thousand, five hundred sixty-four".