64634066560440 has 768 divisors, whose sum is σ = 243212487598080. Its totient is φ = 14744145346560.

The previous prime is 64634066560439. The next prime is 64634066560493. The reversal of 64634066560440 is 4406566043646.

64634066560440 is a `hidden beast` number, since 6 + 4 + 6 + 34 + 0 + 6 + 6 + 560 + 4 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4648922529 + ... + 4648936431.

It is an arithmetic number, because the mean of its divisors is an integer number (316682926560).

Almost surely, 2^{64634066560440} is an apocalyptic number.

64634066560440 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 64634066560440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121606243799040).

64634066560440 is an abundant number, since it is smaller than the sum of its proper divisors (178578421037640).

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

64634066560440 is a wasteful number, since it uses less digits than its factorization.

64634066560440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14844 (or 14837 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 54.

The spelling of 64634066560440 in words is "sixty-four trillion, six hundred thirty-four billion, sixty-six million, five hundred sixty thousand, four hundred forty".