7671485422080 has 960 divisors, whose sum is σ = 28440511976448. Its totient is φ = 1907526205440.

The previous prime is 7671485422079. The next prime is 7671485422147. The reversal of 7671485422080 is 802245841767.

7671485422080 is a `hidden beast` number, since 7 + 6 + 7 + 14 + 8 + 542 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2827674804 + ... + 2827677516.

Almost surely, 2^{7671485422080} 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 7671485422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220255988224).

7671485422080 is an abundant number, since it is smaller than the sum of its proper divisors (20769026554368).

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

7671485422080 is a wasteful number, since it uses less digits than its factorization.

7671485422080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 7671485422080 in words is "seven trillion, six hundred seventy-one billion, four hundred eighty-five million, four hundred twenty-two thousand, eighty".