6712917120 has 640 divisors, whose sum is σ = 29526013440. Its totient is φ = 1415356416.

The previous prime is 6712917119. The next prime is 6712917157. The reversal of 6712917120 is 217192176.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4716729 + ... + 4718151.

It is an arithmetic number, because the mean of its divisors is an integer number (46134396).

Almost surely, 2^6712917120 is an apocalyptic number.

6712917120 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 6712917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14763006720).

6712917120 is an abundant number, since it is smaller than the sum of its proper divisors (22813096320).

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

6712917120 is a wasteful number, since it uses less digits than its factorization.

6712917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 6712917120 is about 81932.3935937429. The cubic root of 6712917120 is about 1886.4143657978.

The spelling of 6712917120 in words is "six billion, seven hundred twelve million, nine hundred seventeen thousand, one hundred twenty".