126646464000 has 1280 divisors, whose sum is σ = 533886971904. Its totient is φ = 25952256000.

The previous prime is 126646463941. The next prime is 126646464013. The reversal of 126646464000 is 464646621.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 126646464000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 525503880 + ... + 525504120.

Almost surely, 2^126646464000 is an apocalyptic number.

126646464000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126646464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266943485952).

126646464000 is an abundant number, since it is smaller than the sum of its proper divisors (407240507904).

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

126646464000 is a wasteful number, since it uses less digits than its factorization.

126646464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 126646464000 in words is "one hundred twenty-six billion, six hundred forty-six million, four hundred sixty-four thousand".