64411465034400 has 576 divisors, whose sum is σ = 230265202083840. Its totient is φ = 15509613772800.

The previous prime is 64411465034377. The next prime is 64411465034461. The reversal of 64411465034400 is 443056411446.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3357727209 + ... + 3357746391.

It is an arithmetic number, because the mean of its divisors is an integer number (399765975840).

Almost surely, 2^{64411465034400} is an apocalyptic number.

64411465034400 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 64411465034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115132601041920).

64411465034400 is an abundant number, since it is smaller than the sum of its proper divisors (165853737049440).

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

64411465034400 is a wasteful number, since it uses less digits than its factorization.

64411465034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20069 (or 20056 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 64411465034400 in words is "sixty-four trillion, four hundred eleven billion, four hundred sixty-five million, thirty-four thousand, four hundred".