264806741760 has 576 divisors, whose sum is σ = 974727806976. Its totient is φ = 60667084800.

The previous prime is 264806741711. The next prime is 264806741789. The reversal of 264806741760 is 67147608462.

It is a super-2 number, since 2×264806741760² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56303569 + ... + 56308271.

It is an arithmetic number, because the mean of its divisors is an integer number (1692235776).

Almost surely, 2^264806741760 is an apocalyptic number.

264806741760 is a gapful number since it is divisible by the number (20) 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 264806741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487363903488).

264806741760 is an abundant number, since it is smaller than the sum of its proper divisors (709921065216).

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

264806741760 is a wasteful number, since it uses less digits than its factorization.

264806741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4812 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 264806741760 in words is "two hundred sixty-four billion, eight hundred six million, seven hundred forty-one thousand, seven hundred sixty".