6939820800 has 540 divisors, whose sum is σ = 28015378776. Its totient is φ = 1680998400.

The previous prime is 6939820781. The next prime is 6939820819. The reversal of 6939820800 is 80289396.

It is an interprime number because it is at equal distance from previous prime (6939820781) and next prime (6939820819).

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×6939820800² = 96322225472225280000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5701792 + ... + 5703008.

Almost surely, 2^6939820800 is an apocalyptic number.

6939820800 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 6939820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14007689388).

6939820800 is an abundant number, since it is smaller than the sum of its proper divisors (21075557976).

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

6939820800 is a wasteful number, since it uses less digits than its factorization.

6939820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6939820800 is about 83305.5868474618. The cubic root of 6939820800 is about 1907.4335567839.

The spelling of 6939820800 in words is "six billion, nine hundred thirty-nine million, eight hundred twenty thousand, eight hundred".