64968940800 has 648 divisors, whose sum is σ = 251824757184. Its totient is φ = 15916400640.

The previous prime is 64968940789. The next prime is 64968940831. The reversal of 64968940800 is 804986946.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42104829 + ... + 42106371.

Almost surely, 2^64968940800 is an apocalyptic number.

64968940800 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 64968940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125912378592).

64968940800 is an abundant number, since it is smaller than the sum of its proper divisors (186855816384).

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

64968940800 is a wasteful number, since it uses less digits than its factorization.

64968940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 64968940800 in words is "sixty-four billion, nine hundred sixty-eight million, nine hundred forty thousand, eight hundred".