64866682100800 has 252 divisors, whose sum is σ = 169637538755740. Its totient is φ = 24408344494080.

The previous prime is 64866682100797. The next prime is 64866682100963. The reversal of 64866682100800 is 800128666846.

It can be written as a sum of positive squares in 18 ways, for example, as 18119597050944 + 46747085049856 = 4256712^2 + 6837184^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 965920024 + ... + 965987176.

Almost surely, 2^{64866682100800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64866682100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84818769377870).

64866682100800 is an abundant number, since it is smaller than the sum of its proper divisors (104770856654940).

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

64866682100800 is a wasteful number, since it uses less digits than its factorization.

64866682100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69298 (or 69266 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 55.

The spelling of 64866682100800 in words is "sixty-four trillion, eight hundred sixty-six billion, six hundred eighty-two million, one hundred thousand, eight hundred".