8000964567261 has 12 divisors (see below), whose sum is σ = 11558543635392. Its totient is φ = 5333240309256.

The previous prime is 8000964567257. The next prime is 8000964567287. The reversal of 8000964567261 is 1627654690008.

8000964567261 is a `hidden beast` number, since 80 + 0 + 0 + 96 + 456 + 7 + 26 + 1 = 666.

It is not a de Polignac number, because 8000964567261 - 2² = 8000964567257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8000964567198 and 8000964567207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000964567251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61270231 + ... + 61400676.

It is an arithmetic number, because the mean of its divisors is an integer number (963211969616).

Almost surely, 2^{8000964567261} is an apocalyptic number.

It is an amenable number.

8000964567261 is a deficient number, since it is larger than the sum of its proper divisors (3557579068131).

8000964567261 is a wasteful number, since it uses less digits than its factorization.

8000964567261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122678160 (or 122678157 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 8000964567261 in words is "eight trillion, nine hundred sixty-four million, five hundred sixty-seven thousand, two hundred sixty-one".