7671948410880 has 1408 divisors, whose sum is σ = 30230521138440. Its totient is φ = 1857520926720.

The previous prime is 7671948410879. The next prime is 7671948410921. The reversal of 7671948410880 is 880148491767.

7671948410880 is a `hidden beast` number, since 7 + 6 + 71 + 9 + 484 + 1 + 0 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2516360380416 + 5155588030464 = 1586304^2 + 2270592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 125769646050 + ... + 125769646110.

Almost surely, 2^{7671948410880} 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 7671948410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15115260569220).

7671948410880 is an abundant number, since it is smaller than the sum of its proper divisors (22558572727560).

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

7671948410880 is an frugal number, since it uses more digits than its factorization.

7671948410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 7671948410880 in words is "seven trillion, six hundred seventy-one billion, nine hundred forty-eight million, four hundred ten thousand, eight hundred eighty".