6920792947600 has 1215 divisors, whose sum is σ = 21847359962673. Its totient is φ = 2100214448640.

The previous prime is 6920792947571. The next prime is 6920792947603. The reversal of 6920792947600 is 67492970296.

The square root of 6920792947600 is 2630740.

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., 2491485461136 + 4429307486464 = 1578444^2 + 2104592^2 .

It is not an unprimeable number, because it can be changed into a prime (6920792947603) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 160948673179 + ... + 160948673221.

Almost surely, 2^{6920792947600} is an apocalyptic number.

6920792947600 is the 2630740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6920792947600

6920792947600 is an abundant number, since it is smaller than the sum of its proper divisors (14926567015073).

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

6920792947600 is a wasteful number, since it uses less digits than its factorization.

6920792947600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 61.

The spelling of 6920792947600 in words is "six trillion, nine hundred twenty billion, seven hundred ninety-two million, nine hundred forty-seven thousand, six hundred".