6966221209600 has 171 divisors, whose sum is σ = 17292968637721. Its totient is φ = 2783785779200.

The previous prime is 6966221209573. The next prime is 6966221209613. The reversal of 6966221209600 is 69021226696.

It is a happy number.

The square root of 6966221209600 is 2639360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2507839635456 + 4458381574144 = 1583616^2 + 2111488^2 .

It is a super-3 number, since 3×6966221209600³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6756761085 + ... + 6756762115.

Almost surely, 2^{6966221209600} is an apocalyptic number.

6966221209600 is the 2639360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6966221209600

6966221209600 is an abundant number, since it is smaller than the sum of its proper divisors (10326747428121).

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

6966221209600 is an frugal number, since it uses more digits than its factorization.

6966221209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

Multiplying 6966221209600 by its sum of digits (49), we get a square (341344839270400 = 18475520²).

The spelling of 6966221209600 in words is "six trillion, nine hundred sixty-six billion, two hundred twenty-one million, two hundred nine thousand, six hundred".