64122102272 has 150 divisors (see below), whose sum is σ = 139739828679. Its totient is φ = 29393832960.

The previous prime is 64122102091. The next prime is 64122102281. The reversal of 64122102272 is 27220122146.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

64122102272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 32061051136 + 32061051136 = 179056^2 + 179056^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=179056.

It is a super-2 number, since 2×64122102272² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2068454897 + ... + 2068454927.

Almost surely, 2^64122102272 is an apocalyptic number.

64122102272 is a gapful number since it is divisible by the number (62) 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 64122102272

64122102272 is an abundant number, since it is smaller than the sum of its proper divisors (75617726407).

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

64122102272 is an frugal number, since it uses more digits than its factorization.

64122102272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 64122102272 in words is "sixty-four billion, one hundred twenty-two million, one hundred two thousand, two hundred seventy-two".