6634271952 has 400 divisors, whose sum is σ = 25206720000. Its totient is φ = 1632026880.

The previous prime is 6634271927. The next prime is 6634271957. The reversal of 6634271952 is 2591724366.

6634271952 is a `hidden beast` number, since 6 + 634 + 2 + 7 + 1 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6634271898 and 6634271907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6634271957) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1894299 + ... + 1897797.

It is an arithmetic number, because the mean of its divisors is an integer number (63016800).

Almost surely, 2^6634271952 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 6634271952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12603360000).

6634271952 is an abundant number, since it is smaller than the sum of its proper divisors (18572448048).

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

6634271952 is a wasteful number, since it uses less digits than its factorization.

6634271952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556 (or 3541 counting only the distinct ones).

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

The square root of 6634271952 is about 81451.0402143521. The cubic root of 6634271952 is about 1879.0186473259.

The spelling of 6634271952 in words is "six billion, six hundred thirty-four million, two hundred seventy-one thousand, nine hundred fifty-two".