64742400 has 198 divisors, whose sum is σ = 232633362. Its totient is φ = 17203200.

The previous prime is 64742399. The next prime is 64742417. The reversal of 64742400 is 424746.

It can be written as a sum of positive squares in 3 ways, for example, as 7225344 + 57517056 = 2688^2 + 7584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230260 + ... + 230540.

Almost surely, 2^64742400 is an apocalyptic number.

64742400 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 64742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116316681).

64742400 is an abundant number, since it is smaller than the sum of its proper divisors (167890962).

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

64742400 is a wasteful number, since it uses less digits than its factorization.

64742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 64742400 is about 8046.2662148353. The cubic root of 64742400 is about 401.5407244673.

The spelling of 64742400 in words is "sixty-four million, seven hundred forty-two thousand, four hundred".