667651647456 has 144 divisors (see below), whose sum is σ = 1921080142800. Its totient is φ = 219922458624.

The previous prime is 667651647433. The next prime is 667651647469. The reversal of 667651647456 is 654746156766.

667651647456 is a `hidden beast` number, since 6 + 6 + 76 + 51 + 64 + 7 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×667651647456² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 667651647393 and 667651647402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50924230 + ... + 50937338.

It is an arithmetic number, because the mean of its divisors is an integer number (13340834325).

Almost surely, 2^667651647456 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 667651647456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960540071400).

667651647456 is an abundant number, since it is smaller than the sum of its proper divisors (1253428495344).

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

667651647456 is a wasteful number, since it uses less digits than its factorization.

667651647456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15201 (or 15190 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 667651647456 in words is "six hundred sixty-seven billion, six hundred fifty-one million, six hundred forty-seven thousand, four hundred fifty-six".