264608172660 has 192 divisors, whose sum is σ = 808775654400. Its totient is φ = 64247758848.

The previous prime is 264608172623. The next prime is 264608172677. The reversal of 264608172660 is 66271806462.

It is a super-4 number, since 4×264608172660⁴ (a number of 47 digits) contains 4444 as substring.

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, 124286476 + ... + 124288604.

It is an arithmetic number, because the mean of its divisors is an integer number (4212373200).

Almost surely, 2^264608172660 is an apocalyptic number.

264608172660 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 264608172660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404387827200).

264608172660 is an abundant number, since it is smaller than the sum of its proper divisors (544167481740).

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

264608172660 is a wasteful number, since it uses less digits than its factorization.

264608172660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 264608172660 in words is "two hundred sixty-four billion, six hundred eight million, one hundred seventy-two thousand, six hundred sixty".