8726669952 has 512 divisors, whose sum is σ = 31650877440. Its totient is φ = 2057011200.

The previous prime is 8726669951. The next prime is 8726669981. The reversal of 8726669952 is 2599666278.

It is a super-2 number, since 2×8726669952² (a number of 21 digits) contains 22 as substring.

Its product of digits (19595520) is a multiple of the sum of its prime divisors (420).

It is not an unprimeable number, because it can be changed into a prime (8726669951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28059877 + ... + 28060187.

It is an arithmetic number, because the mean of its divisors is an integer number (61818120).

Almost surely, 2^8726669952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8726669952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15825438720).

8726669952 is an abundant number, since it is smaller than the sum of its proper divisors (22924207488).

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

8726669952 is a wasteful number, since it uses less digits than its factorization.

8726669952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 60.

The square root of 8726669952 is about 93416.6470817702. The cubic root of 8726669952 is about 2058.8095953307.

The spelling of 8726669952 in words is "eight billion, seven hundred twenty-six million, six hundred sixty-nine thousand, nine hundred fifty-two".