7960870471680 has 3456 divisors, whose sum is σ = 36214654694400. Its totient is φ = 1605264998400.

The previous prime is 7960870471669. The next prime is 7960870471681. The reversal of 7960870471680 is 861740780697.

7960870471680 is a `hidden beast` number, since 7 + 9 + 6 + 0 + 87 + 0 + 471 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (7960870471681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 109053020124 + ... + 109053020196.

It is an arithmetic number, because the mean of its divisors is an integer number (10478777400).

Almost surely, 2^{7960870471680} is an apocalyptic number.

7960870471680 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 7960870471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18107327347200).

7960870471680 is an abundant number, since it is smaller than the sum of its proper divisors (28253784222720).

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

7960870471680 is a wasteful number, since it uses less digits than its factorization.

7960870471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 7960870471680 in words is "seven trillion, nine hundred sixty billion, eight hundred seventy million, four hundred seventy-one thousand, six hundred eighty".