126643668480 has 960 divisors, whose sum is σ = 526206320640. Its totient is φ = 28593782784.

The previous prime is 126643668467. The next prime is 126643668517. The reversal of 126643668480 is 84866346621.

126643668480 is a `hidden beast` number, since 1 + 2 + 66 + 43 + 6 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 553029006 + ... + 553029234.

It is an arithmetic number, because the mean of its divisors is an integer number (548131584).

Almost surely, 2^126643668480 is an apocalyptic number.

126643668480 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 126643668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263103160320).

126643668480 is an abundant number, since it is smaller than the sum of its proper divisors (399562652160).

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

126643668480 is an equidigital number, since it uses as much as digits as its factorization.

126643668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 126643668480 in words is "one hundred twenty-six billion, six hundred forty-three million, six hundred sixty-eight thousand, four hundred eighty".