7671647440 has 40 divisors (see below), whose sum is σ = 17840275560. Its totient is φ = 3068023296.

The previous prime is 7671647411. The next prime is 7671647449. The reversal of 7671647440 is 447461767.

It can be written as a sum of positive squares in 4 ways, for example, as 3843008064 + 3828639376 = 61992^2 + 61876^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7671647449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 655722 + ... + 667318.

It is an arithmetic number, because the mean of its divisors is an integer number (446006889).

Almost surely, 2^7671647440 is an apocalyptic number.

It is an amenable number.

7671647440 is an abundant number, since it is smaller than the sum of its proper divisors (10168628120).

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

7671647440 is a wasteful number, since it uses less digits than its factorization.

7671647440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19879 (or 19873 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 46.

The square root of 7671647440 is about 87587.9411791372. The cubic root of 7671647440 is about 1972.2541505566.

The spelling of 7671647440 in words is "seven billion, six hundred seventy-one million, six hundred forty-seven thousand, four hundred forty".