64249113600 has 1056 divisors, whose sum is σ = 276164864000. Its totient is φ = 14631321600.

The previous prime is 64249113589. The next prime is 64249113613. The reversal of 64249113600 is 631194246.

64249113600 is a `hidden beast` number, since 6 + 4 + 2 + 49 + 1 + 1 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 237081465 + ... + 237081735.

Almost surely, 2^64249113600 is an apocalyptic number.

64249113600 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 64249113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138082432000).

64249113600 is an abundant number, since it is smaller than the sum of its proper divisors (211915750400).

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

64249113600 is a wasteful number, since it uses less digits than its factorization.

64249113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 64249113600 in words is "sixty-four billion, two hundred forty-nine million, one hundred thirteen thousand, six hundred".