264137825591808 has 320 divisors, whose sum is σ = 819664143851520. Its totient is φ = 74018262269952.

The previous prime is 264137825591711. The next prime is 264137825591813. The reversal of 264137825591808 is 808195528731462.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1667889333 + ... + 1668047691.

It is an arithmetic number, because the mean of its divisors is an integer number (2561450449536).

It is a 1-persistent number, because it is pandigital, but 2⋅264137825591808 = 528275651183616 is not.

Almost surely, 2^{264137825591808} is an apocalyptic number.

264137825591808 is a gapful number since it is divisible by the number (28) 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 264137825591808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409832071925760).

264137825591808 is an abundant number, since it is smaller than the sum of its proper divisors (555526318259712).

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

264137825591808 is a wasteful number, since it uses less digits than its factorization.

264137825591808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161367 (or 161351 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 69.

The spelling of 264137825591808 in words is "two hundred sixty-four trillion, one hundred thirty-seven billion, eight hundred twenty-five million, five hundred ninety-one thousand, eight hundred eight".