64416000 has 288 divisors, whose sum is σ = 237234816. Its totient is φ = 15360000.

The previous prime is 64415993. The next prime is 64416007. The reversal of 64416000 is 61446.

It is an interprime number because it is at equal distance from previous prime (64415993) and next prime (64416007).

It is not an unprimeable number, because it can be changed into a prime (64416007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055970 + ... + 1056030.

It is an arithmetic number, because the mean of its divisors is an integer number (823732).

Almost surely, 2^64416000 is an apocalyptic number.

64416000 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 64416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118617408).

64416000 is an abundant number, since it is smaller than the sum of its proper divisors (172818816).

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

64416000 is a wasteful number, since it uses less digits than its factorization.

64416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 64416000 is about 8025.9578867572. The cubic root of 64416000 is about 400.8647956405.

Adding to 64416000 its reverse (61446), we get a palindrome (64477446).

The spelling of 64416000 in words is "sixty-four million, four hundred sixteen thousand".