64126532340 has 144 divisors (see below), whose sum is σ = 209744510976. Its totient is φ = 15765062400.

The previous prime is 64126532339. The next prime is 64126532347. The reversal of 64126532340 is 4323562146.

64126532340 is a `hidden beast` number, since 6 + 412 + 6 + 5 + 3 + 234 + 0 = 666.

It is a super-2 number, since 2×64126532340² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64126532295 and 64126532304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64126532347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1880845 + ... + 1914635.

It is an arithmetic number, because the mean of its divisors is an integer number (1456559104).

Almost surely, 2^64126532340 is an apocalyptic number.

64126532340 is a gapful number since it is divisible by the number (60) 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 64126532340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104872255488).

64126532340 is an abundant number, since it is smaller than the sum of its proper divisors (145617978636).

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

64126532340 is a wasteful number, since it uses less digits than its factorization.

64126532340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34630 (or 34625 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 64126532340 in words is "sixty-four billion, one hundred twenty-six million, five hundred thirty-two thousand, three hundred forty".