7201668656 has 120 divisors (see below), whose sum is σ = 18284124384. Its totient is φ = 2681303040.

The previous prime is 7201668647. The next prime is 7201668659. The reversal of 7201668656 is 6568661027.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7201668656.

It is not an unprimeable number, because it can be changed into a prime (7201668659) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310586 + ... + 332966.

Almost surely, 2^7201668656 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 7201668656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9142062192).

7201668656 is an abundant number, since it is smaller than the sum of its proper divisors (11082455728).

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

7201668656 is a wasteful number, since it uses less digits than its factorization.

7201668656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22439 (or 22420 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The square root of 7201668656 is about 84862.6458225290. The cubic root of 7201668656 is about 1931.1279308049.

The spelling of 7201668656 in words is "seven billion, two hundred one million, six hundred sixty-eight thousand, six hundred fifty-six".