6718968480 has 768 divisors, whose sum is σ = 27799511040. Its totient is φ = 1327104000.

The previous prime is 6718968457. The next prime is 6718968511. The reversal of 6718968480 is 848698176.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 6718968480.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44496405 + ... + 44496555.

It is an arithmetic number, because the mean of its divisors is an integer number (36197280).

Almost surely, 2^6718968480 is an apocalyptic number.

6718968480 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 6718968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13899755520).

6718968480 is an abundant number, since it is smaller than the sum of its proper divisors (21080542560).

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

6718968480 is a wasteful number, since it uses less digits than its factorization.

6718968480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The square root of 6718968480 is about 81969.3142584467. The cubic root of 6718968480 is about 1886.9810317156.

The spelling of 6718968480 in words is "six billion, seven hundred eighteen million, nine hundred sixty-eight thousand, four hundred eighty".