7670430340767 has 16 divisors (see below), whose sum is σ = 12032047594080. Its totient is φ = 4812819037056.

The previous prime is 7670430340693. The next prime is 7670430340787.

7670430340767 is a `hidden beast` number, since 76 + 70 + 43 + 0 + 3 + 407 + 67 = 666.

7670430340767 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7670430340767 - 2¹⁶ = 7670430275231 is a prime.

It is a super-2 number, since 2×7670430340767² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7670430340787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8355588148 + ... + 8355589065.

It is an arithmetic number, because the mean of its divisors is an integer number (752002974630).

Almost surely, 2^{7670430340767} is an apocalyptic number.

7670430340767 is a deficient number, since it is larger than the sum of its proper divisors (4361617253313).

7670430340767 is a wasteful number, since it uses less digits than its factorization.

7670430340767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16711177239 (or 16711177233 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 54.

The spelling of 7670430340767 in words is "seven trillion, six hundred seventy billion, four hundred thirty million, three hundred forty thousand, seven hundred sixty-seven".