7671579945120 has 1056 divisors, whose sum is σ = 33463451935872. Its totient is φ = 1618437666816.

The previous prime is 7671579945067. The next prime is 7671579945187. The reversal of 7671579945120 is 215499751767.

7671579945120 is a `hidden beast` number, since 7 + 6 + 7 + 1 + 579 + 9 + 4 + 51 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 859748979 + ... + 859757901.

Almost surely, 2^{7671579945120} is an apocalyptic number.

7671579945120 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 7671579945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16731725967936).

7671579945120 is an abundant number, since it is smaller than the sum of its proper divisors (25791871990752).

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

7671579945120 is an equidigital number, since it uses as much as digits as its factorization.

7671579945120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8988 (or 8953 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 63.

The spelling of 7671579945120 in words is "seven trillion, six hundred seventy-one billion, five hundred seventy-nine million, nine hundred forty-five thousand, one hundred twenty".