126784923408 has 480 divisors, whose sum is σ = 435255475200. Its totient is φ = 35221547520.

The previous prime is 126784923403. The next prime is 126784923427. The reversal of 126784923408 is 804329487621.

126784923408 is a `hidden beast` number, since 12 + 67 + 84 + 92 + 3 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (126784923401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90624693 + ... + 90626091.

It is an arithmetic number, because the mean of its divisors is an integer number (906782240).

Almost surely, 2^126784923408 is an apocalyptic number.

126784923408 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 126784923408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217627737600).

126784923408 is an abundant number, since it is smaller than the sum of its proper divisors (308470551792).

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

126784923408 is a wasteful number, since it uses less digits than its factorization.

126784923408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 126784923408 in words is "one hundred twenty-six billion, seven hundred eighty-four million, nine hundred twenty-three thousand, four hundred eight".