6631073201984 has 448 divisors, whose sum is σ = 17668841472000. Its totient is φ = 2391068989440.

The previous prime is 6631073201903. The next prime is 6631073201999. The reversal of 6631073201984 is 4891023701366.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×6631073201984² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3252119237 + ... + 3252121275.

Almost surely, 2^{6631073201984} is an apocalyptic number.

6631073201984 is a gapful number since it is divisible by the number (64) 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 6631073201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8834420736000).

6631073201984 is an abundant number, since it is smaller than the sum of its proper divisors (11037768270016).

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

6631073201984 is a wasteful number, since it uses less digits than its factorization.

6631073201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The spelling of 6631073201984 in words is "six trillion, six hundred thirty-one billion, seventy-three million, two hundred one thousand, nine hundred eighty-four".