7646296320 has 864 divisors, whose sum is σ = 30998682624. Its totient is φ = 1791590400.

The previous prime is 7646296313. The next prime is 7646296327. The reversal of 7646296320 is 236926467.

7646296320 is a `hidden beast` number, since 7 + 6 + 4 + 6 + 2 + 9 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7646296313) and next prime (7646296327).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7646296327) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 125349090 + ... + 125349150.

Almost surely, 2^7646296320 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 7646296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499341312).

7646296320 is an abundant number, since it is smaller than the sum of its proper divisors (23352386304).

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

7646296320 is a wasteful number, since it uses less digits than its factorization.

7646296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 7646296320 is about 87443.1033301083. The cubic root of 7646296320 is about 1970.0793014364.

The spelling of 7646296320 in words is "seven billion, six hundred forty-six million, two hundred ninety-six thousand, three hundred twenty".