264747125664 has 144 divisors (see below), whose sum is σ = 860636544768. Its totient is φ = 75623717376.

The previous prime is 264747125663. The next prime is 264747125689. The reversal of 264747125664 is 466521747462.

264747125664 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 4 + 71 + 2 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 264747125664.

It is not an unprimeable number, because it can be changed into a prime (264747125663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9818569 + ... + 9845495.

It is an arithmetic number, because the mean of its divisors is an integer number (5976642672).

Almost surely, 2^264747125664 is an apocalyptic number.

264747125664 is a gapful number since it is divisible by the number (24) 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 264747125664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430318272384).

264747125664 is an abundant number, since it is smaller than the sum of its proper divisors (595889419104).

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

264747125664 is a wasteful number, since it uses less digits than its factorization.

264747125664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31827 (or 31816 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 264747125664 in words is "two hundred sixty-four billion, seven hundred forty-seven million, one hundred twenty-five thousand, six hundred sixty-four".