264634027680 has 576 divisors, whose sum is σ = 988185744000. Its totient is φ = 59284684800.

The previous prime is 264634027673. The next prime is 264634027681. The reversal of 264634027680 is 86720436462.

It is a super-2 number, since 2×264634027680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (264634027681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45241396 + ... + 45247244.

It is an arithmetic number, because the mean of its divisors is an integer number (1715600250).

Almost surely, 2^264634027680 is an apocalyptic number.

264634027680 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 264634027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494092872000).

264634027680 is an abundant number, since it is smaller than the sum of its proper divisors (723551716320).

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

264634027680 is a wasteful number, since it uses less digits than its factorization.

264634027680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5949 (or 5930 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 264634027680 in words is "two hundred sixty-four billion, six hundred thirty-four million, twenty-seven thousand, six hundred eighty".