6732820973824 has 243 divisors, whose sum is σ = 15466490719897. Its totient is φ = 2922746675200.

The previous prime is 6732820973797. The next prime is 6732820973869. The reversal of 6732820973824 is 4283790282376.

The square root of 6732820973824 is 2594768.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6077368813824 + 655452160000 = 2465232^2 + 809600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10503620544 + ... + 10503621184.

Almost surely, 2^{6732820973824} is an apocalyptic number.

6732820973824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6732820973824 is the 2594768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6732820973824

6732820973824 is an abundant number, since it is smaller than the sum of its proper divisors (8733669746073).

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

6732820973824 is an frugal number, since it uses more digits than its factorization.

6732820973824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 61.

The spelling of 6732820973824 in words is "six trillion, seven hundred thirty-two billion, eight hundred twenty million, nine hundred seventy-three thousand, eight hundred twenty-four".