6631037952 has 528 divisors, whose sum is σ = 23649040128. Its totient is φ = 1604321280.

The previous prime is 6631037947. The next prime is 6631037957. The reversal of 6631037952 is 2597301366.

It is an interprime number because it is at equal distance from previous prime (6631037947) and next prime (6631037957).

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6631037957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68361168 + ... + 68361264.

Almost surely, 2^6631037952 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 6631037952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11824520064).

6631037952 is an abundant number, since it is smaller than the sum of its proper divisors (17018002176).

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

6631037952 is a wasteful number, since it uses less digits than its factorization.

6631037952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 6631037952 is about 81431.1853775935. The cubic root of 6631037952 is about 1878.7132767680.

The spelling of 6631037952 in words is "six billion, six hundred thirty-one million, thirty-seven thousand, nine hundred fifty-two".