126300480768 has 1152 divisors, whose sum is σ = 494484480000. Its totient is φ = 31484436480.

The previous prime is 126300480749. The next prime is 126300480791. The reversal of 126300480768 is 867084003621.

126300480768 is a `hidden beast` number, since 1 + 2 + 630 + 0 + 4 + 8 + 0 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×126300480768² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 756290221 + ... + 756290387.

It is an arithmetic number, because the mean of its divisors is an integer number (429240000).

Almost surely, 2^126300480768 is an apocalyptic number.

126300480768 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 126300480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247242240000).

126300480768 is an abundant number, since it is smaller than the sum of its proper divisors (368183999232).

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

126300480768 is a wasteful number, since it uses less digits than its factorization.

126300480768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 126300480768 in words is "one hundred twenty-six billion, three hundred million, four hundred eighty thousand, seven hundred sixty-eight".