8726211648 has 588 divisors, whose sum is σ = 33041459952. Its totient is φ = 2260016640.

The previous prime is 8726211629. The next prime is 8726211677. The reversal of 8726211648 is 8461126278.

8726211648 is a `hidden beast` number, since 8 + 7 + 2 + 621 + 16 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (588).

It is a super-2 number, since 2×8726211648² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 25147411 + ... + 25147757.

Almost surely, 2^8726211648 is an apocalyptic number.

8726211648 is a gapful number since it is divisible by the number (88) 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 8726211648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16520729976).

8726211648 is an abundant number, since it is smaller than the sum of its proper divisors (24315248304).

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

8726211648 is a wasteful number, since it uses less digits than its factorization.

8726211648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 370 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 8726211648 is about 93414.1940392358. The cubic root of 8726211648 is about 2058.7735534347.

The spelling of 8726211648 in words is "eight billion, seven hundred twenty-six million, two hundred eleven thousand, six hundred forty-eight".