7259180640 has 192 divisors, whose sum is σ = 23436241920. Its totient is φ = 1888071680.

The previous prime is 7259180639. The next prime is 7259180707. The reversal of 7259180640 is 460819527.

It is a junction number, because it is equal to n+sod(n) for n = 7259180592 and 7259180601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3878905 + ... + 3880775.

It is an arithmetic number, because the mean of its divisors is an integer number (122063760).

Almost surely, 2^7259180640 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 7259180640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718120960).

7259180640 is an abundant number, since it is smaller than the sum of its proper divisors (16177061280).

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

7259180640 is a wasteful number, since it uses less digits than its factorization.

7259180640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 7259180640 is about 85200.8253481150. The cubic root of 7259180640 is about 1936.2549211254.

The spelling of 7259180640 in words is "seven billion, two hundred fifty-nine million, one hundred eighty thousand, six hundred forty".