64605249330336 has 432 divisors, whose sum is σ = 228921523477920. Its totient is φ = 17120269900800.

The previous prime is 64605249330319. The next prime is 64605249330359. The reversal of 64605249330336 is 63303394250646.

64605249330336 is a `hidden beast` number, since 6 + 4 + 60 + 5 + 249 + 3 + 3 + 0 + 336 = 666.

64605249330336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4854591 + ... + 12360321.

Almost surely, 2^{64605249330336} is an apocalyptic number.

64605249330336 is a gapful number since it is divisible by the number (66) 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 64605249330336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114460761738960).

64605249330336 is an abundant number, since it is smaller than the sum of its proper divisors (164316274147584).

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

64605249330336 is a wasteful number, since it uses less digits than its factorization.

64605249330336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7505801 (or 7505779 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 54.

The spelling of 64605249330336 in words is "sixty-four trillion, six hundred five billion, two hundred forty-nine million, three hundred thirty thousand, three hundred thirty-six".