126763691040 has 576 divisors, whose sum is σ = 530400648960. Its totient is φ = 27973693440.

The previous prime is 126763691027. The next prime is 126763691059. The reversal of 126763691040 is 40196367621.

126763691040 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 636 + 9 + 1 + 0 + 4 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7884610 + ... + 7900670.

It is an arithmetic number, because the mean of its divisors is an integer number (920834460).

Almost surely, 2^126763691040 is an apocalyptic number.

126763691040 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 126763691040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265200324480).

126763691040 is an abundant number, since it is smaller than the sum of its proper divisors (403636957920).

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

126763691040 is a wasteful number, since it uses less digits than its factorization.

126763691040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16127 (or 16107 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 126763691040 in words is "one hundred twenty-six billion, seven hundred sixty-three million, six hundred ninety-one thousand, forty".