64724400 has 240 divisors, whose sum is σ = 248629920. Its totient is φ = 15897600.

The previous prime is 64724399. The next prime is 64724411. The reversal of 64724400 is 442746.

64724400 = T₂₂₆₃ + T₂₂₆₄ + ... + T₂₂₈₇.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140170 + ... + 140630.

It is an arithmetic number, because the mean of its divisors is an integer number (1035958).

Almost surely, 2^64724400 is an apocalyptic number.

64724400 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 64724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124314960).

64724400 is an abundant number, since it is smaller than the sum of its proper divisors (183905520).

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

64724400 is a wasteful number, since it uses less digits than its factorization.

64724400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 484 counting only the distinct ones).

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

The square root of 64724400 is about 8045.1476058553. The cubic root of 64724400 is about 401.5035082434.

The spelling of 64724400 in words is "sixty-four million, seven hundred twenty-four thousand, four hundred".