7432086960 has 240 divisors, whose sum is σ = 25972337664. Its totient is φ = 1975124736.

The previous prime is 7432086947. The next prime is 7432086983. The reversal of 7432086960 is 696802347.

It is a tau number, because it is divible by the number of its divisors (240).

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8611489 + ... + 8612351.

Almost surely, 2^7432086960 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 7432086960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12986168832).

7432086960 is an abundant number, since it is smaller than the sum of its proper divisors (18540250704).

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

7432086960 is a wasteful number, since it uses less digits than its factorization.

7432086960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7432086960 is about 86209.5526029453. The cubic root of 7432086960 is about 1951.5076624373.

The spelling of 7432086960 in words is "seven billion, four hundred thirty-two million, eighty-six thousand, nine hundred sixty".