7432447680 has 224 divisors, whose sum is σ = 29965985280. Its totient is φ = 1698831360.

The previous prime is 7432447679. The next prime is 7432447699. The reversal of 7432447680 is 867442347.

7432447680 is a `hidden beast` number, since 74 + 32 + 4 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 966 + ... + 121925.

It is an arithmetic number, because the mean of its divisors is an integer number (133776720).

Almost surely, 2^7432447680 is an apocalyptic number.

7432447680 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 7432447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14982992640).

7432447680 is an abundant number, since it is smaller than the sum of its proper divisors (22533537600).

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

7432447680 is a wasteful number, since it uses less digits than its factorization.

7432447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122924 (or 122908 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 7432447680 is about 86211.6446891022. The cubic root of 7432447680 is about 1951.5392343883.

The spelling of 7432447680 in words is "seven billion, four hundred thirty-two million, four hundred forty-seven thousand, six hundred eighty".