6426022201600 has 81 divisors (see below), whose sum is σ = 15905910984537. Its totient is φ = 2570327761920.

The previous prime is 6426022201597. The next prime is 6426022201631. The reversal of 6426022201600 is 61022206246.

The square root of 6426022201600 is 2534960.

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., 2313367992576 + 4112654209024 = 1520976^2 + 2027968^2 .

It is a super-2 number, since 2×6426022201600² (a number of 26 digits) contains 22 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, 202780957 + ... + 202812643.

Almost surely, 2^{6426022201600} is an apocalyptic number.

6426022201600 is the 2534960-th square number.

It is an amenable number.

6426022201600 is an abundant number, since it is smaller than the sum of its proper divisors (9479888782937).

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

6426022201600 is an frugal number, since it uses more digits than its factorization.

6426022201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63400 (or 31694 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 6426022201600 its reverse (61022206246), we get a palindrome (6487044407846).

The spelling of 6426022201600 in words is "six trillion, four hundred twenty-six billion, twenty-two million, two hundred one thousand, six hundred".