264407217696 has 36 divisors (see below), whose sum is σ = 751908026142. Its totient is φ = 88135739136.

The previous prime is 264407217691. The next prime is 264407217757. The reversal of 264407217696 is 696712704462.

264407217696 is a `hidden beast` number, since 2 + 64 + 407 + 2 + 176 + 9 + 6 = 666.

264407217696 is digitally balanced in base 3, 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., 176874078096 + 87533139600 = 420564^2 + 295860^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×264407217696² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264407217691) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 459040021 + ... + 459040596.

Almost surely, 2^264407217696 is an apocalyptic number.

It is an amenable number.

264407217696 is an abundant number, since it is smaller than the sum of its proper divisors (487500808446).

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

264407217696 is a wasteful number, since it uses less digits than its factorization.

264407217696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918080633 (or 918080622 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 264407217696 in words is "two hundred sixty-four billion, four hundred seven million, two hundred seventeen thousand, six hundred ninety-six".