64199458661400 has 480 divisors, whose sum is σ = 238103793417600. Its totient is φ = 15996301977600.

The previous prime is 64199458661279. The next prime is 64199458661407. The reversal of 64199458661400 is 416685499146.

It is a happy number.

64199458661400 is a `hidden beast` number, since 6 + 4 + 1 + 9 + 9 + 4 + 5 + 8 + 6 + 614 + 0 + 0 = 666.

64199458661400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×64199458661400³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64199458661407) 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 119 ways as a sum of consecutive naturals, for example, 12359724 + ... + 16767876.

It is an arithmetic number, because the mean of its divisors is an integer number (496049569620).

Almost surely, 2^{64199458661400} is an apocalyptic number.

64199458661400 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 64199458661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119051896708800).

64199458661400 is an abundant number, since it is smaller than the sum of its proper divisors (173904334756200).

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

64199458661400 is a wasteful number, since it uses less digits than its factorization.

64199458661400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408241 (or 4408223 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 64199458661400 in words is "sixty-four trillion, one hundred ninety-nine billion, four hundred fifty-eight million, six hundred sixty-one thousand, four hundred".