264723863040 has 800 divisors, whose sum is σ = 1167045929280. Its totient is φ = 55849844736.

The previous prime is 264723862993. The next prime is 264723863123. The reversal of 264723863040 is 40368327462.

264723863040 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 2 + 3 + 8 + 630 + 4 + 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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18862746 + ... + 18876774.

Almost surely, 2^264723863040 is an apocalyptic number.

264723863040 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 264723863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583522964640).

264723863040 is an abundant number, since it is smaller than the sum of its proper divisors (902322066240).

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

264723863040 is a wasteful number, since it uses less digits than its factorization.

264723863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14084 (or 14059 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 264723863040 in words is "two hundred sixty-four billion, seven hundred twenty-three million, eight hundred sixty-three thousand, forty".