64288111697920 has 224 divisors, whose sum is σ = 168516180737856. Its totient is φ = 23348536934400.

The previous prime is 64288111697837. The next prime is 64288111697921. The reversal of 64288111697920 is 2979611188246.

It is a super-2 number, since 2×64288111697920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (64288111697921) 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 15 ways as a sum of consecutive naturals, for example, 365316192 + ... + 365492128.

It is an arithmetic number, because the mean of its divisors is an integer number (752304378294).

Almost surely, 2^{64288111697920} 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 64288111697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84258090368928).

64288111697920 is an abundant number, since it is smaller than the sum of its proper divisors (104228069039936).

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

64288111697920 is a wasteful number, since it uses less digits than its factorization.

64288111697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176790 (or 176766 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 64.

The spelling of 64288111697920 in words is "sixty-four trillion, two hundred eighty-eight billion, one hundred eleven million, six hundred ninety-seven thousand, nine hundred twenty".