6426630606400 has 63 divisors (see below), whose sum is σ = 15813777455059. Its totient is φ = 2570611681280.

The previous prime is 6426630606377. The next prime is 6426630606427. The reversal of 6426630606400 is 46060366246.

The square root of 6426630606400 is 2535080.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3149545892416 + 3277084713984 = 1774696^2 + 1810272^2 .

It is a super-2 number, since 2×6426630606400² (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, 101371512 + ... + 101434888.

Almost surely, 2^{6426630606400} is an apocalyptic number.

6426630606400 is the 2535080-th square number.

It is an amenable number.

6426630606400 is an abundant number, since it is smaller than the sum of its proper divisors (9387146848659).

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

6426630606400 is an frugal number, since it uses more digits than its factorization.

6426630606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126776 (or 63384 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 43.

The spelling of 6426630606400 in words is "six trillion, four hundred twenty-six billion, six hundred thirty million, six hundred six thousand, four hundred".