264376861632000 has 5760 divisors, whose sum is σ = 1162633883419008. Its totient is φ = 59624128512000.

The previous prime is 264376861631969. The next prime is 264376861632083. The reversal of 264376861632000 is 236168673462.

264376861632000 is a `hidden beast` number, since 2 + 6 + 4 + 376 + 8 + 6 + 1 + 63 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2725534655952 + ... + 2725534656048.

Almost surely, 2^{264376861632000} is an apocalyptic number.

264376861632000 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 264376861632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581316941709504).

264376861632000 is an abundant number, since it is smaller than the sum of its proper divisors (898257021787008).

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

264376861632000 is an equidigital number, since it uses as much as digits as its factorization.

264376861632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 264376861632000 in words is "two hundred sixty-four trillion, three hundred seventy-six billion, eight hundred sixty-one million, six hundred thirty-two thousand".