64575228022272 has 2880 divisors, whose sum is σ = 235345061952000. Its totient is φ = 17602733998080.

The previous prime is 64575228022247. The next prime is 64575228022307. The reversal of 64575228022272 is 27222082257546.

64575228022272 is a `hidden beast` number, since 6 + 4 + 5 + 75 + 2 + 280 + 22 + 272 = 666.

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 287 ways as a sum of consecutive naturals, for example, 592433284554 + ... + 592433284662.

It is an arithmetic number, because the mean of its divisors is an integer number (81717035400).

Almost surely, 2^{64575228022272} 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 64575228022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117672530976000).

64575228022272 is an abundant number, since it is smaller than the sum of its proper divisors (170769833929728).

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

64575228022272 is a wasteful number, since it uses less digits than its factorization.

64575228022272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 64575228022272 in words is "sixty-four trillion, five hundred seventy-five billion, two hundred twenty-eight million, twenty-two thousand, two hundred seventy-two".