64996249651200 has 2016 divisors, whose sum is σ = 290688654110400. Its totient is φ = 14073300910080.

The previous prime is 64996249651163. The next prime is 64996249651231. The reversal of 64996249651200 is 215694269946.

64996249651200 is a `hidden beast` number, since 6 + 4 + 9 + 9 + 6 + 24 + 96 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×64996249651200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4964191854 + ... + 4964204946.

It is an arithmetic number, because the mean of its divisors is an integer number (144190800650).

Almost surely, 2^{64996249651200} is an apocalyptic number.

64996249651200 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 64996249651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145344327055200).

64996249651200 is an abundant number, since it is smaller than the sum of its proper divisors (225692404459200).

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

64996249651200 is a wasteful number, since it uses less digits than its factorization.

64996249651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13169 (or 13129 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 64996249651200 in words is "sixty-four trillion, nine hundred ninety-six billion, two hundred forty-nine million, six hundred fifty-one thousand, two hundred".