264138673680 has 1600 divisors, whose sum is σ = 1184445047808. Its totient is φ = 53137244160.

The previous prime is 264138673661. The next prime is 264138673691. The reversal of 264138673680 is 86376831462.

264138673680 is a `hidden beast` number, since 2 + 6 + 413 + 86 + 73 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 939995140 + ... + 939995420.

Almost surely, 2^264138673680 is an apocalyptic number.

264138673680 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 264138673680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592222523904).

264138673680 is an abundant number, since it is smaller than the sum of its proper divisors (920306374128).

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

264138673680 is a wasteful number, since it uses less digits than its factorization.

264138673680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 264138673680 in words is "two hundred sixty-four billion, one hundred thirty-eight million, six hundred seventy-three thousand, six hundred eighty".