64830578414400 has 504 divisors, whose sum is σ = 231237674216640. Its totient is φ = 17227147591680.

The previous prime is 64830578414341. The next prime is 64830578414449. The reversal of 64830578414400 is 441487503846.

64830578414400 is a `hidden beast` number, since 6 + 48 + 30 + 57 + 84 + 1 + 440 + 0 = 666.

64830578414400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 5352142744 + ... + 5352154856.

It is an arithmetic number, because the mean of its divisors is an integer number (458804909160).

Almost surely, 2^{64830578414400} is an apocalyptic number.

64830578414400 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 64830578414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115618837108320).

64830578414400 is an abundant number, since it is smaller than the sum of its proper divisors (166407095802240).

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

64830578414400 is a wasteful number, since it uses less digits than its factorization.

64830578414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13423 (or 13405 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 64830578414400 in words is "sixty-four trillion, eight hundred thirty billion, five hundred seventy-eight million, four hundred fourteen thousand, four hundred".