7649274729467 has 8 divisors (see below), whose sum is σ = 8749610256096. Its totient is φ = 6550834701312.

The previous prime is 7649274729449. The next prime is 7649274729491.

7649274729467 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7649274729467 - 2²⁴ = 7649257952251 is a prime.

It is a super-2 number, since 2×7649274729467² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7649274729394 and 7649274729403.

It is not an unprimeable number, because it can be changed into a prime (7649274729167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 473865968 + ... + 473882109.

It is an arithmetic number, because the mean of its divisors is an integer number (1093701282012).

Almost surely, 2^{7649274729467} is an apocalyptic number.

7649274729467 is a deficient number, since it is larger than the sum of its proper divisors (1100335526629).

7649274729467 is a wasteful number, since it uses less digits than its factorization.

7649274729467 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947749237.

The product of its digits is 1792336896, while the sum is 74.

The spelling of 7649274729467 in words is "seven trillion, six hundred forty-nine billion, two hundred seventy-four million, seven hundred twenty-nine thousand, four hundred sixty-seven".