64111896576 has 960 divisors, whose sum is σ = 245067863040. Its totient is φ = 16243752960.

The previous prime is 64111896529. The next prime is 64111896637. The reversal of 64111896576 is 67569811146.

64111896576 is a `hidden beast` number, since 64 + 1 + 1 + 1 + 8 + 9 + 6 + 576 = 666.

64111896576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64111896576² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 467969980 + ... + 467970116.

It is an arithmetic number, because the mean of its divisors is an integer number (255279024).

Almost surely, 2^64111896576 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 64111896576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122533931520).

64111896576 is an abundant number, since it is smaller than the sum of its proper divisors (180955966464).

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

64111896576 is a wasteful number, since it uses less digits than its factorization.

64111896576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 193 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 64111896576 in words is "sixty-four billion, one hundred eleven million, eight hundred ninety-six thousand, five hundred seventy-six".