126804722688 has 528 divisors, whose sum is σ = 429182208000. Its totient is φ = 35315564544.

The previous prime is 126804722683. The next prime is 126804722689. The reversal of 126804722688 is 886227408621.

126804722688 is a `hidden beast` number, since 12 + 6 + 80 + 472 + 2 + 6 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (126804722683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708406183 + ... + 708406361.

Almost surely, 2^126804722688 is an apocalyptic number.

126804722688 is a gapful number since it is divisible by the number (18) 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 126804722688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214591104000).

126804722688 is an abundant number, since it is smaller than the sum of its proper divisors (302377485312).

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

126804722688 is a wasteful number, since it uses less digits than its factorization.

126804722688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 126804722688 in words is "one hundred twenty-six billion, eight hundred four million, seven hundred twenty-two thousand, six hundred eighty-eight".