126604691640 has 192 divisors, whose sum is σ = 471297528000. Its totient is φ = 28873506816.

The previous prime is 126604691639. The next prime is 126604691657. The reversal of 126604691640 is 46196406621.

It is a happy number.

126604691640 is a `hidden beast` number, since 1 + 26 + 6 + 0 + 469 + 164 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1075534 + ... + 1187426.

It is an arithmetic number, because the mean of its divisors is an integer number (2454674625).

Almost surely, 2^126604691640 is an apocalyptic number.

126604691640 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 126604691640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235648764000).

126604691640 is an abundant number, since it is smaller than the sum of its proper divisors (344692836360).

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

126604691640 is a wasteful number, since it uses less digits than its factorization.

126604691640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112366 (or 112359 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 126604691640 in words is "one hundred twenty-six billion, six hundred four million, six hundred ninety-one thousand, six hundred forty".