7258940160 has 432 divisors, whose sum is σ = 25542085632. Its totient is φ = 1754726400.

The previous prime is 7258940137. The next prime is 7258940173. The reversal of 7258940160 is 610498527.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34402455 + ... + 34402665.

Almost surely, 2^7258940160 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 7258940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12771042816).

7258940160 is an abundant number, since it is smaller than the sum of its proper divisors (18283145472).

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

7258940160 is a wasteful number, since it uses less digits than its factorization.

7258940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 269 counting only the distinct ones).

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

The square root of 7258940160 is about 85199.4140824924. The cubic root of 7258940160 is about 1936.2335396616.

The spelling of 7258940160 in words is "seven billion, two hundred fifty-eight million, nine hundred forty thousand, one hundred sixty".