126629609472 has 576 divisors, whose sum is σ = 412755158400. Its totient is φ = 38698352640.

The previous prime is 126629609467. The next prime is 126629609497. The reversal of 126629609472 is 274906926621.

126629609472 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 29 + 609 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 35 ways as a sum of consecutive naturals, for example, 4084826097 + ... + 4084826127.

Almost surely, 2^126629609472 is an apocalyptic number.

126629609472 is a gapful number since it is divisible by the number (12) 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 126629609472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206377579200).

126629609472 is an abundant number, since it is smaller than the sum of its proper divisors (286125548928).

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

126629609472 is an frugal number, since it uses more digits than its factorization.

126629609472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 126629609472 in words is "one hundred twenty-six billion, six hundred twenty-nine million, six hundred nine thousand, four hundred seventy-two".