7648312320 has 528 divisors, whose sum is σ = 29429637120. Its totient is φ = 1821081600.

The previous prime is 7648312319. The next prime is 7648312333. The reversal of 7648312320 is 232138467.

It is a happy number.

7648312320 is a `hidden beast` number, since 7 + 648 + 3 + 1 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a congruent number.

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, 40043425 + ... + 40043615.

Almost surely, 2^7648312320 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 7648312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714818560).

7648312320 is an abundant number, since it is smaller than the sum of its proper divisors (21781324800).

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

7648312320 is a wasteful number, since it uses less digits than its factorization.

7648312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7648312320 is about 87454.6300661091. The cubic root of 7648312320 is about 1970.2524279935.

The spelling of 7648312320 in words is "seven billion, six hundred forty-eight million, three hundred twelve thousand, three hundred twenty".