264624000000 has 616 divisors, whose sum is σ = 911543019600. Its totient is φ = 68198400000.

The previous prime is 264623999989. The next prime is 264624000001. The reversal of 264624000000 is 426462.

It is a super-2 number, since 2×264624000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264624000001) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 1775999926 + ... + 1776000074.

Almost surely, 2^264624000000 is an apocalyptic number.

264624000000 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 264624000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455771509800).

264624000000 is an abundant number, since it is smaller than the sum of its proper divisors (646919019600).

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

264624000000 is an frugal number, since it uses more digits than its factorization.

264624000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 264624000000 its reverse (426462), we get a palindrome (264624426462).

It can be divided in two parts, 2646 and 24000000, that multiplied together give a square (63504000000 = 252000²).

The spelling of 264624000000 in words is "two hundred sixty-four billion, six hundred twenty-four million", and thus it is an aban number.