64718400 has 168 divisors, whose sum is σ = 216062560. Its totient is φ = 16957440.

The previous prime is 64718393. The next prime is 64718429. The reversal of 64718400 is 481746.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465531 + ... + 465669.

Almost surely, 2^64718400 is an apocalyptic number.

64718400 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 64718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108031280).

64718400 is an abundant number, since it is smaller than the sum of its proper divisors (151344160).

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

64718400 is a wasteful number, since it uses less digits than its factorization.

64718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 64718400 is about 8044.7747016309. The cubic root of 64718400 is about 401.4911013021.

The spelling of 64718400 in words is "sixty-four million, seven hundred eighteen thousand, four hundred".