126752624640 has 624 divisors, whose sum is σ = 474726769920. Its totient is φ = 31185960960.

The previous prime is 126752624599. The next prime is 126752624729. The reversal of 126752624640 is 46426257621.

126752624640 is a `hidden beast` number, since 1 + 2 + 67 + 526 + 2 + 4 + 64 + 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 47 ways as a sum of consecutive naturals, for example, 122940925 + ... + 122941955.

It is an arithmetic number, because the mean of its divisors is an integer number (760780080).

Almost surely, 2^126752624640 is an apocalyptic number.

126752624640 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 126752624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237363384960).

126752624640 is an abundant number, since it is smaller than the sum of its proper divisors (347974145280).

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

126752624640 is a wasteful number, since it uses less digits than its factorization.

126752624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 126752624640 in words is "one hundred twenty-six billion, seven hundred fifty-two million, six hundred twenty-four thousand, six hundred forty".