6733734363136 has 405 divisors, whose sum is σ = 15785443629837. Its totient is φ = 2869800468480.

The previous prime is 6733734363077. The next prime is 6733734363143. The reversal of 6733734363136 is 6313634373376.

The square root of 6733734363136 is 2594944.

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., 3023703654400 + 3710030708736 = 1738880^2 + 1926144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69419941840 + ... + 69419941936.

Almost surely, 2^{6733734363136} is an apocalyptic number.

6733734363136 is the 2594944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6733734363136

6733734363136 is an abundant number, since it is smaller than the sum of its proper divisors (9051709266701).

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

6733734363136 is an frugal number, since it uses more digits than its factorization.

6733734363136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 129 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 55.

The spelling of 6733734363136 in words is "six trillion, seven hundred thirty-three billion, seven hundred thirty-four million, three hundred sixty-three thousand, one hundred thirty-six".