126772363008 has 288 divisors, whose sum is σ = 417839385600. Its totient is φ = 37677809664.

The previous prime is 126772362967. The next prime is 126772363013. The reversal of 126772363008 is 800363277621.

126772363008 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 7 + 2 + 3 + 630 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2204185 + ... + 2260967.

It is an arithmetic number, because the mean of its divisors is an integer number (1450831200).

Almost surely, 2^126772363008 is an apocalyptic number.

126772363008 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 126772363008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208919692800).

126772363008 is an abundant number, since it is smaller than the sum of its proper divisors (291067022592).

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

126772363008 is a wasteful number, since it uses less digits than its factorization.

126772363008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56844 (or 56824 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 126772363008 in words is "one hundred twenty-six billion, seven hundred seventy-two million, three hundred sixty-three thousand, eight".