264660963840 has 960 divisors, whose sum is σ = 1177900859520. Its totient is φ = 55831265280.

The previous prime is 264660963769. The next prime is 264660963841. The reversal of 264660963840 is 48369066462.

264660963840 is a `hidden beast` number, since 26 + 4 + 6 + 609 + 6 + 3 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (264660963841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44026435 + ... + 44032445.

It is an arithmetic number, because the mean of its divisors is an integer number (1226980062).

Almost surely, 2^264660963840 is an apocalyptic number.

264660963840 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 264660963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588950429760).

264660963840 is an abundant number, since it is smaller than the sum of its proper divisors (913239895680).

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

264660963840 is a wasteful number, since it uses less digits than its factorization.

264660963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6070 (or 6041 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 264660963840 in words is "two hundred sixty-four billion, six hundred sixty million, nine hundred sixty-three thousand, eight hundred forty".