264489753600 has 1584 divisors, whose sum is σ = 1082665767456. Its totient is φ = 63700992000.

The previous prime is 264489753589. The next prime is 264489753607. The reversal of 264489753600 is 6357984462.

264489753600 is a `hidden beast` number, since 2 + 6 + 448 + 97 + 53 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264489753607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4335897570 + ... + 4335897630.

Almost surely, 2^264489753600 is an apocalyptic number.

264489753600 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 264489753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541332883728).

264489753600 is an abundant number, since it is smaller than the sum of its proper divisors (818176013856).

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

264489753600 is a wasteful number, since it uses less digits than its factorization.

264489753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 264489753600 in words is "two hundred sixty-four billion, four hundred eighty-nine million, seven hundred fifty-three thousand, six hundred".