264145435632 has 240 divisors, whose sum is σ = 814565239488. Its totient is φ = 79403950080.

The previous prime is 264145435573. The next prime is 264145435639. The reversal of 264145435632 is 236534541462.

264145435632 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 4 + 5 + 4 + 3 + 5 + 632 = 666.

It is a super-2 number, since 2×264145435632² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264145435639) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23905533 + ... + 23916579.

Almost surely, 2^264145435632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264145435632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407282619744).

264145435632 is an abundant number, since it is smaller than the sum of its proper divisors (550419803856).

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

264145435632 is a wasteful number, since it uses less digits than its factorization.

264145435632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11368 (or 11359 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 264145435632 in words is "two hundred sixty-four billion, one hundred forty-five million, four hundred thirty-five thousand, six hundred thirty-two".