7082515440 has 960 divisors, whose sum is σ = 33069883392. Its totient is φ = 1310515200.

The previous prime is 7082515331. The next prime is 7082515463. The reversal of 7082515440 is 445152807.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7082515395 and 7082515404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22342162 + ... + 22342478.

Almost surely, 2^7082515440 is an apocalyptic number.

7082515440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7082515440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16534941696).

7082515440 is an abundant number, since it is smaller than the sum of its proper divisors (25987367952).

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

7082515440 is a wasteful number, since it uses less digits than its factorization.

7082515440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 7082515440 is about 84157.6820022985. The cubic root of 7082515440 is about 1920.4183333253.

The spelling of 7082515440 in words is "seven billion, eighty-two million, five hundred fifteen thousand, four hundred forty".