264770468504640 has 448 divisors, whose sum is σ = 1072068833272320. Its totient is φ = 60259222978560.

The previous prime is 264770468504471. The next prime is 264770468504767. The reversal of 264770468504640 is 46405864077462.

264770468504640 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 7 + 0 + 4 + 68 + 504 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4697380 + ... + 23486300.

Almost surely, 2^{264770468504640} is an apocalyptic number.

264770468504640 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 264770468504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536034416636160).

264770468504640 is an abundant number, since it is smaller than the sum of its proper divisors (807298364767680).

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

264770468504640 is a wasteful number, since it uses less digits than its factorization.

264770468504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18789187 (or 18789171 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 63.

The spelling of 264770468504640 in words is "two hundred sixty-four trillion, seven hundred seventy billion, four hundred sixty-eight million, five hundred four thousand, six hundred forty".