7182535680 has 528 divisors, whose sum is σ = 27038479104. Its totient is φ = 1824768000.

The previous prime is 7182535651. The next prime is 7182535733. The reversal of 7182535680 is 865352817.

7182535680 is a `hidden beast` number, since 7 + 1 + 82 + 5 + 3 + 568 + 0 = 666.

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

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, 28615555 + ... + 28615805.

Almost surely, 2^7182535680 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 7182535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13519239552).

7182535680 is an abundant number, since it is smaller than the sum of its proper divisors (19855943424).

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

7182535680 is a wasteful number, since it uses less digits than its factorization.

7182535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 7182535680 is about 84749.8417697638. The cubic root of 7182535680 is about 1929.4162444753.

The spelling of 7182535680 in words is "seven billion, one hundred eighty-two million, five hundred thirty-five thousand, six hundred eighty".