64146400200 has 96 divisors (see below), whose sum is σ = 220948730400. Its totient is φ = 17105705280.

The previous prime is 64146400177. The next prime is 64146400211. The reversal of 64146400200 is 200464146.

64146400200 is a `hidden beast` number, since 6 + 4 + 14 + 640 + 0 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×64146400200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5934082 + ... + 5944881.

It is an arithmetic number, because the mean of its divisors is an integer number (2301549275).

Almost surely, 2^64146400200 is an apocalyptic number.

64146400200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64146400200 is an abundant number, since it is smaller than the sum of its proper divisors (156802330200).

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

64146400200 is a wasteful number, since it uses less digits than its factorization.

64146400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11878988 (or 11878973 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 64146400200 its reverse (200464146), we get a palindrome (64346864346).

The spelling of 64146400200 in words is "sixty-four billion, one hundred forty-six million, four hundred thousand, two hundred".