654769967456 has 96 divisors (see below), whose sum is σ = 1414284883200. Its totient is φ = 295927948800.

The previous prime is 654769967377. The next prime is 654769967471.

654769967456 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×654769967456² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168883790 + ... + 168887666.

It is an arithmetic number, because the mean of its divisors is an integer number (14732134200).

Almost surely, 2^654769967456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 654769967456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707142441600).

654769967456 is an abundant number, since it is smaller than the sum of its proper divisors (759514915744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

654769967456 is a wasteful number, since it uses less digits than its factorization.

654769967456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6508 (or 6500 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 74.

The spelling of 654769967456 in words is "six hundred fifty-four billion, seven hundred sixty-nine million, nine hundred sixty-seven thousand, four hundred fifty-six".