64441161964800 has 1080 divisors, whose sum is σ = 245976681734784. Its totient is φ = 16635487518720.

The previous prime is 64441161964793. The next prime is 64441161964901. The reversal of 64441161964800 is 846916114446.

It is a happy number.

64441161964800 is a `hidden beast` number, since 6 + 4 + 4 + 4 + 11 + 61 + 96 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 2518892809 + ... + 2518918391.

Almost surely, 2^{64441161964800} is an apocalyptic number.

64441161964800 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 64441161964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122988340867392).

64441161964800 is an abundant number, since it is smaller than the sum of its proper divisors (181535519769984).

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

64441161964800 is a wasteful number, since it uses less digits than its factorization.

64441161964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25777 (or 25749 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 64441161964800 in words is "sixty-four trillion, four hundred forty-one billion, one hundred sixty-one million, nine hundred sixty-four thousand, eight hundred".