64088042603472 has 200 divisors, whose sum is σ = 192119388828840. Its totient is φ = 20600903715840.

The previous prime is 64088042603449. The next prime is 64088042603479. The reversal of 64088042603472 is 27430624088046.

64088042603472 is a `hidden beast` number, since 6 + 40 + 8 + 80 + 426 + 0 + 34 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8423670350736 + 55664372252736 = 2902356^2 + 7460856^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64088042603479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29817978 + ... + 31894950.

Almost surely, 2^{64088042603472} 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 64088042603472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96059694414420).

64088042603472 is an abundant number, since it is smaller than the sum of its proper divisors (128031346225368).

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

64088042603472 is a wasteful number, since it uses less digits than its factorization.

64088042603472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077843 (or 2077828 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 64088042603472 in words is "sixty-four trillion, eighty-eight billion, forty-two million, six hundred three thousand, four hundred seventy-two".