952712326656 has 800 divisors, whose sum is σ = 3220647490368. Its totient is φ = 278727229440.

The previous prime is 952712326651. The next prime is 952712326663. The reversal of 952712326656 is 656623217259.

It is a happy number.

952712326656 is a `hidden beast` number, since 9 + 527 + 1 + 2 + 3 + 2 + 66 + 56 = 666.

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 (952712326651) 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 79 ways as a sum of consecutive naturals, for example, 664836916 + ... + 664838348.

Almost surely, 2^952712326656 is an apocalyptic number.

952712326656 is a gapful number since it is divisible by the number (96) 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 952712326656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610323745184).

952712326656 is an abundant number, since it is smaller than the sum of its proper divisors (2267935163712).

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

952712326656 is a wasteful number, since it uses less digits than its factorization.

952712326656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1519 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 952712326656 in words is "nine hundred fifty-two billion, seven hundred twelve million, three hundred twenty-six thousand, six hundred fifty-six".