4672465129728 has 1440 divisors, whose sum is σ = 17113198354560. Its totient is φ = 1250768977920.

The previous prime is 4672465129727. The next prime is 4672465129741. The reversal of 4672465129728 is 8279215642764.

4672465129728 is a `hidden beast` number, since 4 + 6 + 7 + 2 + 4 + 6 + 512 + 97 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (4672465129727) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4160698575 + ... + 4160699697.

It is an arithmetic number, because the mean of its divisors is an integer number (11884165524).

Almost surely, 2^{4672465129728} is an apocalyptic number.

4672465129728 is a gapful number since it is divisible by the number (48) 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 4672465129728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8556599177280).

4672465129728 is an abundant number, since it is smaller than the sum of its proper divisors (12440733224832).

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

4672465129728 is a wasteful number, since it uses less digits than its factorization.

4672465129728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1222 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 4672465129728 in words is "four trillion, six hundred seventy-two billion, four hundred sixty-five million, one hundred twenty-nine thousand, seven hundred twenty-eight".