64125342300 has 144 divisors (see below), whose sum is σ = 192331440000. Its totient is φ = 16476230400.

The previous prime is 64125342289. The next prime is 64125342301. The reversal of 64125342300 is 324352146.

It is a super-2 number, since 2×64125342300² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64125342301) by changing a digit.

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, 4333915 + ... + 4348685.

It is an arithmetic number, because the mean of its divisors is an integer number (1335635000).

Almost surely, 2^64125342300 is an apocalyptic number.

64125342300 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 64125342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96165720000).

64125342300 is an abundant number, since it is smaller than the sum of its proper divisors (128206097700).

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

64125342300 is a wasteful number, since it uses less digits than its factorization.

64125342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15316 (or 15309 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 64125342300 its reverse (324352146), we get a palindrome (64449694446).

The spelling of 64125342300 in words is "sixty-four billion, one hundred twenty-five million, three hundred forty-two thousand, three hundred".