264741713280 has 512 divisors, whose sum is σ = 1050538636800. Its totient is φ = 62443560960.

The previous prime is 264741713263. The next prime is 264741713281. The reversal of 264741713280 is 82317147462.

264741713280 is a `hidden beast` number, since 2 + 6 + 474 + 1 + 71 + 32 + 80 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264741713281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7014139 + ... + 7051781.

It is an arithmetic number, because the mean of its divisors is an integer number (2051833275).

Almost surely, 2^264741713280 is an apocalyptic number.

264741713280 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 264741713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525269318400).

264741713280 is an abundant number, since it is smaller than the sum of its proper divisors (785796923520).

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

264741713280 is a wasteful number, since it uses less digits than its factorization.

264741713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37719 (or 37701 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 264741713280 in words is "two hundred sixty-four billion, seven hundred forty-one million, seven hundred thirteen thousand, two hundred eighty".