64282023465120 has 288 divisors, whose sum is σ = 229060926162432. Its totient is φ = 16385039548416.

The previous prime is 64282023465041. The next prime is 64282023465131. The reversal of 64282023465120 is 2156432028246.

It is a happy number.

64282023465120 is a `hidden beast` number, since 6 + 4 + 28 + 20 + 23 + 465 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×64282023465120³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46447792 + ... + 47811728.

It is an arithmetic number, because the mean of its divisors is an integer number (795350438064).

Almost surely, 2^{64282023465120} is an apocalyptic number.

64282023465120 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 64282023465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114530463081216).

64282023465120 is an abundant number, since it is smaller than the sum of its proper divisors (164778902697312).

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

64282023465120 is a wasteful number, since it uses less digits than its factorization.

64282023465120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365404 (or 1365393 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 64282023465120 in words is "sixty-four trillion, two hundred eighty-two billion, twenty-three million, four hundred sixty-five thousand, one hundred twenty".