7632712240 has 80 divisors (see below), whose sum is σ = 18253081728. Its totient is φ = 2966105088.

The previous prime is 7632712231. The next prime is 7632712271. The reversal of 7632712240 is 422172367.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7632712240² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7632712196 and 7632712205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2523369 + ... + 2526391.

Almost surely, 2^7632712240 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 7632712240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9126540864).

7632712240 is an abundant number, since it is smaller than the sum of its proper divisors (10620369488).

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

7632712240 is a wasteful number, since it uses less digits than its factorization.

7632712240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 7632712240 is about 87365.3949799347. The cubic root of 7632712240 is about 1968.9119572618.

The spelling of 7632712240 in words is "seven billion, six hundred thirty-two million, seven hundred twelve thousand, two hundred forty".