64213354800 has 240 divisors, whose sum is σ = 261202567680. Its totient is φ = 14677320960.

The previous prime is 64213354789. The next prime is 64213354817. The reversal of 64213354800 is 845331246.

64213354800 is a `hidden beast` number, since 6 + 42 + 133 + 5 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349092 + ... + 500291.

It is an arithmetic number, because the mean of its divisors is an integer number (1088344032).

Almost surely, 2^64213354800 is an apocalyptic number.

64213354800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64213354800 is an abundant number, since it is smaller than the sum of its proper divisors (196989212880).

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

64213354800 is a wasteful number, since it uses less digits than its factorization.

64213354800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849417 (or 849400 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 64213354800 in words is "sixty-four billion, two hundred thirteen million, three hundred fifty-four thousand, eight hundred".