7180531680 has 384 divisors, whose sum is σ = 27442437120. Its totient is φ = 1541652480.

The previous prime is 7180531663. The next prime is 7180531691. The reversal of 7180531680 is 861350817.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8745670 + ... + 8746490.

It is an arithmetic number, because the mean of its divisors is an integer number (71464680).

Almost surely, 2^7180531680 is an apocalyptic number.

7180531680 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 7180531680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13721218560).

7180531680 is an abundant number, since it is smaller than the sum of its proper divisors (20261905440).

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

7180531680 is a wasteful number, since it uses less digits than its factorization.

7180531680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 7180531680 is about 84738.0179140390. The cubic root of 7180531680 is about 1929.2367855774.

The spelling of 7180531680 in words is "seven billion, one hundred eighty million, five hundred thirty-one thousand, six hundred eighty".