64738171745280 has 2816 divisors, whose sum is σ = 283237619097600. Its totient is φ = 13832033402880.

The previous prime is 64738171745251. The next prime is 64738171745321. The reversal of 64738171745280 is 8254717183746.

It is a happy number.

64738171745280 is a `hidden beast` number, since 6 + 4 + 7 + 3 + 8 + 171 + 7 + 452 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24587226844 + ... + 24587229476.

Almost surely, 2^{64738171745280} is an apocalyptic number.

64738171745280 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 64738171745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141618809548800).

64738171745280 is an abundant number, since it is smaller than the sum of its proper divisors (218499447352320).

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

64738171745280 is a wasteful number, since it uses less digits than its factorization.

64738171745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 64738171745280 in words is "sixty-four trillion, seven hundred thirty-eight billion, one hundred seventy-one million, seven hundred forty-five thousand, two hundred eighty".