64257370214400 has 1404 divisors, whose sum is σ = 254145344281920. Its totient is φ = 15505932288000.

The previous prime is 64257370214383. The next prime is 64257370214407. The reversal of 64257370214400 is 441207375246.

64257370214400 is a `hidden beast` number, since 6 + 4 + 2 + 573 + 70 + 2 + 1 + 4 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64257370214407) 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 107 ways as a sum of consecutive naturals, for example, 26651749195 + ... + 26651751605.

It is an arithmetic number, because the mean of its divisors is an integer number (181015202480).

Almost surely, 2^{64257370214400} is an apocalyptic number.

64257370214400 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 64257370214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127072672140960).

64257370214400 is an abundant number, since it is smaller than the sum of its proper divisors (189887974067520).

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

64257370214400 is a wasteful number, since it uses less digits than its factorization.

64257370214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

Adding to 64257370214400 its reverse (441207375246), we get a palindrome (64698577589646).

The spelling of 64257370214400 in words is "sixty-four trillion, two hundred fifty-seven billion, three hundred seventy million, two hundred fourteen thousand, four hundred".