7966154880 has 384 divisors, whose sum is σ = 28962385920. Its totient is φ = 2013732864.

The previous prime is 7966154869. The next prime is 7966154881. The reversal of 7966154880 is 884516697.

7966154880 is a `hidden beast` number, since 7 + 96 + 6 + 1 + 548 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (7966154881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20799169 + ... + 20799551.

It is an arithmetic number, because the mean of its divisors is an integer number (75422880).

Almost surely, 2^7966154880 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 7966154880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14481192960).

7966154880 is an abundant number, since it is smaller than the sum of its proper divisors (20996231040).

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

7966154880 is a wasteful number, since it uses less digits than its factorization.

7966154880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 7966154880 is about 89253.3185937643. The cubic root of 7966154880 is about 1997.1755865553.

The spelling of 7966154880 in words is "seven billion, nine hundred sixty-six million, one hundred fifty-four thousand, eight hundred eighty".