7967658411 has 36 divisors (see below), whose sum is σ = 11868704640. Its totient is φ = 5149317600.

The previous prime is 7967658401. The next prime is 7967658431. The reversal of 7967658411 is 1148567697.

It is not a de Polignac number, because 7967658411 - 2¹⁵ = 7967625643 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7967658401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2766070 + ... + 2768948.

It is an arithmetic number, because the mean of its divisors is an integer number (329686240).

Almost surely, 2^7967658411 is an apocalyptic number.

7967658411 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

7967658411 is a deficient number, since it is larger than the sum of its proper divisors (3901046229).

7967658411 is a wasteful number, since it uses less digits than its factorization.

7967658411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3014 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 7967658411 is about 89261.7410260409. The cubic root of 7967658411 is about 1997.3012275349.

The spelling of 7967658411 in words is "seven billion, nine hundred sixty-seven million, six hundred fifty-eight thousand, four hundred eleven".