6926860800 has 720 divisors, whose sum is σ = 27427432032. Its totient is φ = 1725235200.

The previous prime is 6926860793. The next prime is 6926860807. The reversal of 6926860800 is 80686296.

It is an interprime number because it is at equal distance from previous prime (6926860793) and next prime (6926860807).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6926860807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52876735 + ... + 52876865.

Almost surely, 2^6926860800 is an apocalyptic number.

6926860800 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 6926860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713716016).

6926860800 is an abundant number, since it is smaller than the sum of its proper divisors (20500571232).

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

6926860800 is a wasteful number, since it uses less digits than its factorization.

6926860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6926860800 is about 83227.7645981195. The cubic root of 6926860800 is about 1906.2454500653.

The spelling of 6926860800 in words is "six billion, nine hundred twenty-six million, eight hundred sixty thousand, eight hundred".