264608601120 has 768 divisors, whose sum is σ = 1015809984000. Its totient is φ = 64099123200.

The previous prime is 264608601073. The next prime is 264608601133. The reversal of 264608601120 is 21106806462.

264608601120 is a `hidden beast` number, since 2 + 6 + 46 + 0 + 8 + 601 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205281436 + ... + 205282724.

It is an arithmetic number, because the mean of its divisors is an integer number (1322669250).

Almost surely, 2^264608601120 is an apocalyptic number.

264608601120 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 264608601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507904992000).

264608601120 is an abundant number, since it is smaller than the sum of its proper divisors (751201382880).

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

264608601120 is a wasteful number, since it uses less digits than its factorization.

264608601120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 264608601120 in words is "two hundred sixty-four billion, six hundred eight million, six hundred one thousand, one hundred twenty".