6936930000 has 1350 divisors, whose sum is σ = 33404933562. Its totient is φ = 1330560000.

The previous prime is 6936929999. The next prime is 6936930017. The reversal of 6936930000 is 396396.

It can be written as a sum of positive squares in 5 ways, for example, as 4064827536 + 2872102464 = 63756^2 + 53592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 533609994 + ... + 533610006.

Almost surely, 2^6936930000 is an apocalyptic number.

6936930000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6936930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16702466781).

6936930000 is an abundant number, since it is smaller than the sum of its proper divisors (26468003562).

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

6936930000 is a wasteful number, since it uses less digits than its factorization.

6936930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 6936930000 is about 83288.2344632182. The cubic root of 6936930000 is about 1907.1686712349.

It can be divided in two parts, 693 and 6930000, that multiplied together give a square (4802490000 = 69300²).

The spelling of 6936930000 in words is "six billion, nine hundred thirty-six million, nine hundred thirty thousand".