264455503294320 has 720 divisors, whose sum is σ = 1006643321453952. Its totient is φ = 64488272808960.

The previous prime is 264455503294273. The next prime is 264455503294321. The reversal of 264455503294320 is 23492305554462.

264455503294320 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 5 + 550 + 3 + 29 + 43 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (264455503294321) 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, 351157375 + ... + 351909665.

Almost surely, 2^{264455503294320} is an apocalyptic number.

264455503294320 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 264455503294320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503321660726976).

264455503294320 is an abundant number, since it is smaller than the sum of its proper divisors (742187818159632).

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

264455503294320 is a wasteful number, since it uses less digits than its factorization.

264455503294320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752452 (or 752421 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 264455503294320 in words is "two hundred sixty-four trillion, four hundred fifty-five billion, five hundred three million, two hundred ninety-four thousand, three hundred twenty".