7082557440 has 480 divisors, whose sum is σ = 27178260480. Its totient is φ = 1539833856.

The previous prime is 7082557429. The next prime is 7082557441. The reversal of 7082557440 is 447552807.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7082557392 and 7082557401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7082557441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39567271 + ... + 39567449.

It is an arithmetic number, because the mean of its divisors is an integer number (56621376).

Almost surely, 2^7082557440 is an apocalyptic number.

7082557440 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 7082557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13589130240).

7082557440 is an abundant number, since it is smaller than the sum of its proper divisors (20095703040).

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

7082557440 is a wasteful number, since it uses less digits than its factorization.

7082557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The square root of 7082557440 is about 84157.9315335162. The cubic root of 7082557440 is about 1920.4221294064.

The spelling of 7082557440 in words is "seven billion, eighty-two million, five hundred fifty-seven thousand, four hundred forty".