6631706496 has 256 divisors, whose sum is σ = 19388160000. Its totient is φ = 2000609280.

The previous prime is 6631706489. The next prime is 6631706503. The reversal of 6631706496 is 6946071366.

It is an interprime number because it is at equal distance from previous prime (6631706489) and next prime (6631706503).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24653050 + ... + 24653318.

It is an arithmetic number, because the mean of its divisors is an integer number (75735000).

Almost surely, 2^6631706496 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 6631706496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9694080000).

6631706496 is an abundant number, since it is smaller than the sum of its proper divisors (12756453504).

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

6631706496 is a wasteful number, since it uses less digits than its factorization.

6631706496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 6631706496 is about 81435.2902370956. The cubic root of 6631706496 is about 1878.7764121972.

The spelling of 6631706496 in words is "six billion, six hundred thirty-one million, seven hundred six thousand, four hundred ninety-six".