264661424280 has 192 divisors, whose sum is σ = 939387870720. Its totient is φ = 64089043200.

The previous prime is 264661424267. The next prime is 264661424303. The reversal of 264661424280 is 82424166462.

264661424280 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 614 + 2 + 4 + 28 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3570879 + ... + 3644241.

It is an arithmetic number, because the mean of its divisors is an integer number (4892645160).

Almost surely, 2^264661424280 is an apocalyptic number.

264661424280 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 264661424280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469693935360).

264661424280 is an abundant number, since it is smaller than the sum of its proper divisors (674726446440).

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

264661424280 is a wasteful number, since it uses less digits than its factorization.

264661424280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74302 (or 74295 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 264661424280 in words is "two hundred sixty-four billion, six hundred sixty-one million, four hundred twenty-four thousand, two hundred eighty".