262872000720 has 240 divisors, whose sum is σ = 1021700559360. Its totient is φ = 59324368896.

The previous prime is 262872000719. The next prime is 262872000751. The reversal of 262872000720 is 27000278262.

262872000720 is a `hidden beast` number, since 2 + 628 + 7 + 2 + 0 + 0 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68052 + ... + 728268.

It is an arithmetic number, because the mean of its divisors is an integer number (4257085664).

Almost surely, 2^262872000720 is an apocalyptic number.

262872000720 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 262872000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510850279680).

262872000720 is an abundant number, since it is smaller than the sum of its proper divisors (758828558640).

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

262872000720 is a wasteful number, since it uses less digits than its factorization.

262872000720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660322 (or 660313 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 262872000720 its reverse (27000278262), we get a palindrome (289872278982).

The spelling of 262872000720 in words is "two hundred sixty-two billion, eight hundred seventy-two million, seven hundred twenty", and thus it is an aban number.