264947604480 has 528 divisors, whose sum is σ = 1025334177504. Its totient is φ = 65213890560.

The previous prime is 264947604473. The next prime is 264947604487. The reversal of 264947604480 is 84406749462.

264947604480 is a `hidden beast` number, since 2 + 6 + 4 + 94 + 76 + 0 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (264947604473) and next prime (264947604487).

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 (264947604487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16165890 + ... + 16182270.

Almost surely, 2^264947604480 is an apocalyptic number.

264947604480 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 264947604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512667088752).

264947604480 is an abundant number, since it is smaller than the sum of its proper divisors (760386573024).

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

264947604480 is a wasteful number, since it uses less digits than its factorization.

264947604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16434 (or 16404 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 264947604480 in words is "two hundred sixty-four billion, nine hundred forty-seven million, six hundred four thousand, four hundred eighty".