126864536634000 has 640 divisors, whose sum is σ = 524934287055360. Its totient is φ = 28945916928000.

The previous prime is 126864536633999. The next prime is 126864536634007. The reversal of 126864536634000 is 436635468621.

126864536634000 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 6 + 4 + 536 + 63 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×126864536634000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (126864536634007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3816334 + ... + 16379666.

It is an arithmetic number, because the mean of its divisors is an integer number (820209823524).

Almost surely, 2^{126864536634000} is an apocalyptic number.

126864536634000 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 126864536634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262467143527680).

126864536634000 is an abundant number, since it is smaller than the sum of its proper divisors (398069750421360).

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

126864536634000 is a wasteful number, since it uses less digits than its factorization.

126864536634000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12563393 (or 12563371 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 126864536634000 in words is "one hundred twenty-six trillion, eight hundred sixty-four billion, five hundred thirty-six million, six hundred thirty-four thousand".