6853916160 has 720 divisors, whose sum is σ = 29800186416. Its totient is φ = 1443004416.

The previous prime is 6853916143. The next prime is 6853916177. The reversal of 6853916160 is 616193586.

It is an interprime number because it is at equal distance from previous prime (6853916143) and next prime (6853916177).

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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14676247 + ... + 14676713.

Almost surely, 2^6853916160 is an apocalyptic number.

6853916160 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 6853916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14900093208).

6853916160 is an abundant number, since it is smaller than the sum of its proper divisors (22946270256).

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

6853916160 is a wasteful number, since it uses less digits than its factorization.

6853916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 6853916160 is about 82788.3817935826. The cubic root of 6853916160 is about 1899.5304619989.

The spelling of 6853916160 in words is "six billion, eight hundred fifty-three million, nine hundred sixteen thousand, one hundred sixty".