6632805226320 has 480 divisors, whose sum is σ = 27801749574144. Its totient is φ = 1379737497600.

The previous prime is 6632805226297. The next prime is 6632805226339. The reversal of 6632805226320 is 236225082366.

6632805226320 is a `hidden beast` number, since 6 + 6 + 3 + 2 + 8 + 0 + 5 + 2 + 2 + 632 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 3939010 + ... + 5364830.

Almost surely, 2^{6632805226320} is an apocalyptic number.

6632805226320 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 6632805226320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13900874787072).

6632805226320 is an abundant number, since it is smaller than the sum of its proper divisors (21168944347824).

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

6632805226320 is a wasteful number, since it uses less digits than its factorization.

6632805226320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425931 (or 1425922 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 6632805226320 in words is "six trillion, six hundred thirty-two billion, eight hundred five million, two hundred twenty-six thousand, three hundred twenty".