6936814080 has 720 divisors, whose sum is σ = 28993947840. Its totient is φ = 1558683648.

The previous prime is 6936814039. The next prime is 6936814109. The reversal of 6936814080 is 804186396.

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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117573091 + ... + 117573149.

It is an arithmetic number, because the mean of its divisors is an integer number (40269372).

Almost surely, 2^6936814080 is an apocalyptic number.

6936814080 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 6936814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14496973920).

6936814080 is an abundant number, since it is smaller than the sum of its proper divisors (22057133760).

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

6936814080 is an frugal number, since it uses more digits than its factorization.

6936814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

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

The square root of 6936814080 is about 83287.5385637011. The cubic root of 6936814080 is about 1907.1580478888.

The spelling of 6936814080 in words is "six billion, nine hundred thirty-six million, eight hundred fourteen thousand, eighty".