264146715360 has 1152 divisors, whose sum is σ = 1104152684544. Its totient is φ = 58910146560.

The previous prime is 264146715353. The next prime is 264146715361. The reversal of 264146715360 is 63517641462.

264146715360 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 46 + 71 + 536 + 0 = 666.

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 (264146715361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 341715934 + ... + 341716706.

It is an arithmetic number, because the mean of its divisors is an integer number (958465872).

Almost surely, 2^264146715360 is an apocalyptic number.

264146715360 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 264146715360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552076342272).

264146715360 is an abundant number, since it is smaller than the sum of its proper divisors (840005969184).

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

264146715360 is a wasteful number, since it uses less digits than its factorization.

264146715360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 264146715360 in words is "two hundred sixty-four billion, one hundred forty-six million, seven hundred fifteen thousand, three hundred sixty".