6936902440000 has 315 divisors, whose sum is σ = 18644625640443. Its totient is φ = 2558789376000.

The previous prime is 6936902439989. The next prime is 6936902440007. The reversal of 6936902440000 is 442096396.

The square root of 6936902440000 is 2633800.

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

It can be written as a sum of positive squares in 22 ways, for example, as 166248645696 + 6770653794304 = 407736^2 + 2602048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6936902440007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6847879494 + ... + 6847880506.

Almost surely, 2^{6936902440000} is an apocalyptic number.

6936902440000 is the 2633800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6936902440000

6936902440000 is an abundant number, since it is smaller than the sum of its proper divisors (11707723200443).

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

6936902440000 is an frugal number, since it uses more digits than its factorization.

6936902440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 6936902440000 in words is "six trillion, nine hundred thirty-six billion, nine hundred two million, four hundred forty thousand".