7259855040 has 280 divisors, whose sum is σ = 25989899760. Its totient is φ = 1923581952.

The previous prime is 7259855017. The next prime is 7259855059. The reversal of 7259855040 is 405589527.

7259855040 is a `hidden beast` number, since 7 + 2 + 5 + 98 + 550 + 4 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4483351 + ... + 4484969.

Almost surely, 2^7259855040 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 7259855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12994949880).

7259855040 is an abundant number, since it is smaller than the sum of its proper divisors (18730044720).

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

7259855040 is a wasteful number, since it uses less digits than its factorization.

7259855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 7259855040 is about 85204.7829643383. The cubic root of 7259855040 is about 1936.3148805960.

It can be divided in two parts, 725985 and 5040, that added together give a square (731025 = 855²).

The spelling of 7259855040 in words is "seven billion, two hundred fifty-nine million, eight hundred fifty-five thousand, forty".