7082674560 has 512 divisors, whose sum is σ = 27708912000. Its totient is φ = 1698693120.

The previous prime is 7082674537. The next prime is 7082674561. The reversal of 7082674560 is 654762807.

7082674560 is a `hidden beast` number, since 7 + 0 + 82 + 6 + 7 + 4 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7082674561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9209856 + ... + 9210624.

Almost surely, 2^7082674560 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 7082674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13854456000).

7082674560 is an abundant number, since it is smaller than the sum of its proper divisors (20626237440).

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

7082674560 is a wasteful number, since it uses less digits than its factorization.

7082674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 7082674560 is about 84158.6273652321. The cubic root of 7082674560 is about 1920.4327149707.

The spelling of 7082674560 in words is "seven billion, eighty-two million, six hundred seventy-four thousand, five hundred sixty".