64325144100 has 288 divisors, whose sum is σ = 224257868800. Its totient is φ = 13906598400.

The previous prime is 64325144087. The next prime is 64325144101. The reversal of 64325144100 is 144152346.

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

It is not an unprimeable number, because it can be changed into a prime (64325144101) 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 95 ways as a sum of consecutive naturals, for example, 40737111 + ... + 40738689.

Almost surely, 2^64325144100 is an apocalyptic number.

64325144100 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 64325144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112128934400).

64325144100 is an abundant number, since it is smaller than the sum of its proper divisors (159932724700).

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

64325144100 is a wasteful number, since it uses less digits than its factorization.

64325144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 64325144100 its reverse (144152346), we get a palindrome (64469296446).

The spelling of 64325144100 in words is "sixty-four billion, three hundred twenty-five million, one hundred forty-four thousand, one hundred".