6631625145600 has 2592 divisors, whose sum is σ = 32532010318080. Its totient is φ = 1247265423360.

The previous prime is 6631625145599. The next prime is 6631625145641. The reversal of 6631625145600 is 65415261366.

6631625145600 is a `hidden beast` number, since 6 + 6 + 3 + 1 + 6 + 25 + 14 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1693034842 + ... + 1693038758.

Almost surely, 2^{6631625145600} is an apocalyptic number.

6631625145600 is a gapful number since it is divisible by the number (60) 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 6631625145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16266005159040).

6631625145600 is an abundant number, since it is smaller than the sum of its proper divisors (25900385172480).

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

6631625145600 is a wasteful number, since it uses less digits than its factorization.

6631625145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 6631625145600 in words is "six trillion, six hundred thirty-one billion, six hundred twenty-five million, one hundred forty-five thousand, six hundred".