7476642320 has 80 divisors (see below), whose sum is σ = 19882536960. Its totient is φ = 2561352192.

The previous prime is 7476642317. The next prime is 7476642323. The reversal of 7476642320 is 232466747.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7476642317) and next prime (7476642323).

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

It is not an unprimeable number, because it can be changed into a prime (7476642323) 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 15 ways as a sum of consecutive naturals, for example, 795569 + ... + 804911.

It is an arithmetic number, because the mean of its divisors is an integer number (248531712).

Almost surely, 2^7476642320 is an apocalyptic number.

7476642320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7476642320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9941268480).

7476642320 is an abundant number, since it is smaller than the sum of its proper divisors (12405894640).

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

7476642320 is a wasteful number, since it uses less digits than its factorization.

7476642320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10792 (or 10786 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 41.

The square root of 7476642320 is about 86467.5795891154. The cubic root of 7476642320 is about 1955.3996579597.

The spelling of 7476642320 in words is "seven billion, four hundred seventy-six million, six hundred forty-two thousand, three hundred twenty".