7732642320 has 600 divisors, whose sum is σ = 30444676416. Its totient is φ = 1814731776.

The previous prime is 7732642303. The next prime is 7732642397. The reversal of 7732642320 is 232462377.

7732642320 is a `hidden beast` number, since 7 + 7 + 3 + 2 + 642 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25187607 + ... + 25187913.

Almost surely, 2^7732642320 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 7732642320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222338208).

7732642320 is an abundant number, since it is smaller than the sum of its proper divisors (22712034096).

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

7732642320 is a wasteful number, since it uses less digits than its factorization.

7732642320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 7732642320 is about 87935.4440484609. Note that the first 3 decimals coincide. The cubic root of 7732642320 is about 1977.4672850777.

The spelling of 7732642320 in words is "seven billion, seven hundred thirty-two million, six hundred forty-two thousand, three hundred twenty".