64416620736 has 448 divisors, whose sum is σ = 214563350400. Its totient is φ = 18811699200.

The previous prime is 64416620701. The next prime is 64416620747. The reversal of 64416620736 is 63702661446.

It is a happy number.

64416620736 is a `hidden beast` number, since 6 + 4 + 4 + 16 + 620 + 7 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 64416620691 and 64416620700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39738006 + ... + 39739626.

It is an arithmetic number, because the mean of its divisors is an integer number (478936050).

Almost surely, 2^64416620736 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 64416620736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107281675200).

64416620736 is an abundant number, since it is smaller than the sum of its proper divisors (150146729664).

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

64416620736 is a wasteful number, since it uses less digits than its factorization.

64416620736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 64416620736 in words is "sixty-four billion, four hundred sixteen million, six hundred twenty thousand, seven hundred thirty-six".