126605472840 has 1152 divisors, whose sum is σ = 547391520000. Its totient is φ = 25062912000.

The previous prime is 126605472817. The next prime is 126605472853. The reversal of 126605472840 is 48274506621.

126605472840 is a `hidden beast` number, since 1 + 2 + 6 + 60 + 547 + 2 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 838446765 + ... + 838446915.

It is an arithmetic number, because the mean of its divisors is an integer number (475166250).

Almost surely, 2^126605472840 is an apocalyptic number.

126605472840 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 126605472840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273695760000).

126605472840 is an abundant number, since it is smaller than the sum of its proper divisors (420786047160).

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

126605472840 is a wasteful number, since it uses less digits than its factorization.

126605472840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 126605472840 in words is "one hundred twenty-six billion, six hundred five million, four hundred seventy-two thousand, eight hundred forty".