7671068320 has 96 divisors (see below), whose sum is σ = 18336099600. Its totient is φ = 3032555520.

The previous prime is 7671068311. The next prime is 7671068329. The reversal of 7671068320 is 238601767.

It is an interprime number because it is at equal distance from previous prime (7671068311) and next prime (7671068329).

It can be written as a sum of positive squares in 8 ways, for example, as 734843664 + 6936224656 = 27108^2 + 83284^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (7671068329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5554030 + ... + 5555410.

Almost surely, 2^7671068320 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 7671068320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9168049800).

7671068320 is an abundant number, since it is smaller than the sum of its proper divisors (10665031280).

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

7671068320 is a wasteful number, since it uses less digits than its factorization.

7671068320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 7671068320 is about 87584.6351822053. The cubic root of 7671068320 is about 1972.2045219045.

The spelling of 7671068320 in words is "seven billion, six hundred seventy-one million, sixty-eight thousand, three hundred twenty".