64101843590400 has 7776 divisors, whose sum is σ = 328567939056000. Its totient is φ = 12139816550400.

The previous prime is 64101843590353. The next prime is 64101843590453. The reversal of 64101843590400 is 409534810146.

64101843590400 is a `hidden beast` number, since 6 + 4 + 1 + 0 + 18 + 4 + 3 + 590 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 720245433556 + ... + 720245433644.

Almost surely, 2^{64101843590400} is an apocalyptic number.

64101843590400 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 64101843590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164283969528000).

64101843590400 is an abundant number, since it is smaller than the sum of its proper divisors (264466095465600).

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

64101843590400 is a wasteful number, since it uses less digits than its factorization.

64101843590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 64101843590400 in words is "sixty-four trillion, one hundred one billion, eight hundred forty-three million, five hundred ninety thousand, four hundred".