64005422400 has 252 divisors, whose sum is σ = 235917386432. Its totient is φ = 17068008960.

The previous prime is 64005422347. The next prime is 64005422413. The reversal of 64005422400 is 422450046.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 306489 + ... + 471111.

Almost surely, 2^64005422400 is an apocalyptic number.

64005422400 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 64005422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117958693216).

64005422400 is an abundant number, since it is smaller than the sum of its proper divisors (171911964032).

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

64005422400 is a wasteful number, since it uses less digits than its factorization.

64005422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164660 (or 164633 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 64005422400 its reverse (422450046), we get a palindrome (64427872446).

The spelling of 64005422400 in words is "sixty-four billion, five million, four hundred twenty-two thousand, four hundred".