7431367680 has 616 divisors, whose sum is σ = 29318509584. Its totient is φ = 1791590400.

The previous prime is 7431367673. The next prime is 7431367681. The reversal of 7431367680 is 867631347.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7431367681) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 41057190 + ... + 41057370.

Almost surely, 2^7431367680 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 7431367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14659254792).

7431367680 is an abundant number, since it is smaller than the sum of its proper divisors (21887141904).

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

7431367680 is a wasteful number, since it uses less digits than its factorization.

7431367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 7431367680 is about 86205.3808065367. The cubic root of 7431367680 is about 1951.4447045394. Note that the first 3 decimals are identical.

The spelling of 7431367680 in words is "seven billion, four hundred thirty-one million, three hundred sixty-seven thousand, six hundred eighty".