5742648878967 has 128 divisors (see below), whose sum is σ = 11583717949440. Its totient is φ = 2714932080000.

The previous prime is 5742648878959. The next prime is 5742648878969. The reversal of 5742648878967 is 7698788462475.

5742648878967 is a `hidden beast` number, since 5 + 7 + 4 + 2 + 6 + 488 + 78 + 9 + 67 = 666.

It is not a de Polignac number, because 5742648878967 - 2³ = 5742648878959 is a prime.

It is a super-2 number, since 2×5742648878967² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5742648878969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 422592 + ... + 3415242.

It is an arithmetic number, because the mean of its divisors is an integer number (90497796480).

Almost surely, 2^{5742648878967} is an apocalyptic number.

5742648878967 is an abundant number, since it is smaller than the sum of its proper divisors (5841069070473).

5742648878967 is a wasteful number, since it uses less digits than its factorization.

5742648878967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992762 (or 2992756 counting only the distinct ones).

The product of its digits is 9103933440, while the sum is 81.

The spelling of 5742648878967 in words is "five trillion, seven hundred forty-two billion, six hundred forty-eight million, eight hundred seventy-eight thousand, nine hundred sixty-seven".