64209286103040 has 1344 divisors, whose sum is σ = 250262616690180. Its totient is φ = 15800394055680.

The previous prime is 64209286103033. The next prime is 64209286103063. The reversal of 64209286103040 is 4030168290246.

64209286103040 is a `hidden beast` number, since 6 + 4 + 2 + 0 + 9 + 28 + 610 + 3 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 309598765056 + 63899687337984 = 556416^2 + 7993728^2 .

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

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 83 ways as a sum of consecutive naturals, for example, 20185250250 + ... + 20185253430.

Almost surely, 2^{64209286103040} is an apocalyptic number.

64209286103040 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 64209286103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125131308345090).

64209286103040 is an abundant number, since it is smaller than the sum of its proper divisors (186053330587140).

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

64209286103040 is an frugal number, since it uses more digits than its factorization.

64209286103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 64209286103040 in words is "sixty-four trillion, two hundred nine billion, two hundred eighty-six million, one hundred three thousand, forty".