64411807824 has 480 divisors, whose sum is σ = 243636906240. Its totient is φ = 15986958336.

The previous prime is 64411807819. The next prime is 64411807829. The reversal of 64411807824 is 42870811446.

64411807824 is a `hidden beast` number, since 6 + 441 + 180 + 7 + 8 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (64411807819) and next prime (64411807829).

It is a super-2 number, since 2×64411807824² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64411807824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64411807829) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6009382 + ... + 6020090.

It is an arithmetic number, because the mean of its divisors is an integer number (507576888).

Almost surely, 2^64411807824 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 64411807824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121818453120).

64411807824 is an abundant number, since it is smaller than the sum of its proper divisors (179225098416).

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

64411807824 is a wasteful number, since it uses less digits than its factorization.

64411807824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10769 (or 10751 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 64411807824 in words is "sixty-four billion, four hundred eleven million, eight hundred seven thousand, eight hundred twenty-four".