264297648185280 has 896 divisors, whose sum is σ = 964744193952000. Its totient is φ = 68068969021440.

The previous prime is 264297648185243. The next prime is 264297648185309. The reversal of 264297648185280 is 82581846792462.

It is a happy number.

264297648185280 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 97 + 6 + 4 + 8 + 1 + 8 + 528 + 0 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 264297648185199 and 264297648185208.

It is a congruent number.

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, 57493503942 + ... + 57493508538.

It is an arithmetic number, because the mean of its divisors is an integer number (1076723430750).

Almost surely, 2^{264297648185280} is an apocalyptic number.

264297648185280 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 264297648185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482372096976000).

264297648185280 is an abundant number, since it is smaller than the sum of its proper divisors (700446545766720).

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

264297648185280 is a wasteful number, since it uses less digits than its factorization.

264297648185280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6262 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 264297648185280 in words is "two hundred sixty-four trillion, two hundred ninety-seven billion, six hundred forty-eight million, one hundred eighty-five thousand, two hundred eighty".