264028762400 has 72 divisors (see below), whose sum is σ = 694141798644. Its totient is φ = 97487539200.

The previous prime is 264028762379. The next prime is 264028762409. The reversal of 264028762400 is 4267820462.

264028762400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 135397505296 + 128631257104 = 367964^2 + 358652^2 .

It is a super-2 number, since 2×264028762400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264028762409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12683291 + ... + 12704090.

Almost surely, 2^264028762400 is an apocalyptic number.

264028762400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264028762400 is an abundant number, since it is smaller than the sum of its proper divisors (430113036244).

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

264028762400 is a wasteful number, since it uses less digits than its factorization.

264028762400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25387414 (or 25387401 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 41.

The spelling of 264028762400 in words is "two hundred sixty-four billion, twenty-eight million, seven hundred sixty-two thousand, four hundred".