791264132352 has 360 divisors, whose sum is σ = 2382153044040. Its totient is φ = 261227151360.

The previous prime is 791264132311. The next prime is 791264132363. The reversal of 791264132352 is 253231462197.

It is a happy number.

791264132352 is a `hidden beast` number, since 7 + 9 + 1 + 264 + 1 + 32 + 352 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 407677142016 + 383586990336 = 638496^2 + 619344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 791264132298 and 791264132307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1334340568 + ... + 1334341160.

It is an arithmetic number, because the mean of its divisors is an integer number (6617091789).

Almost surely, 2^791264132352 is an apocalyptic number.

791264132352 is a gapful number since it is divisible by the number (72) 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 791264132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191076522020).

791264132352 is an abundant number, since it is smaller than the sum of its proper divisors (1590888911688).

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

791264132352 is a wasteful number, since it uses less digits than its factorization.

791264132352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1108 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 791264132352 in words is "seven hundred ninety-one billion, two hundred sixty-four million, one hundred thirty-two thousand, three hundred fifty-two".