6821649332352 has 80 divisors (see below), whose sum is σ = 20301117907950. Its totient is φ = 2273883107328.

The previous prime is 6821649332341. The next prime is 6821649332357. The reversal of 6821649332352 is 2532339461286.

6821649332352 is a `hidden beast` number, since 6 + 8 + 216 + 49 + 3 + 32 + 352 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5881478630976 + 940170701376 = 2425176^2 + 969624^2 .

It is a super-2 number, since 2×6821649332352² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6821649332357) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 328965777 + ... + 328986512.

Almost surely, 2^{6821649332352} is an apocalyptic number.

It is an amenable number.

6821649332352 is an abundant number, since it is smaller than the sum of its proper divisors (13479468575598).

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

6821649332352 is an equidigital number, since it uses as much as digits as its factorization.

6821649332352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657952315 (or 657952294 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 6821649332352 in words is "six trillion, eight hundred twenty-one billion, six hundred forty-nine million, three hundred thirty-two thousand, three hundred fifty-two".