6713815680 has 1152 divisors, whose sum is σ = 29790936000. Its totient is φ = 1423319040.

The previous prime is 6713815679. The next prime is 6713815697. The reversal of 6713815680 is 865183176.

6713815680 is a `hidden beast` number, since 6 + 7 + 1 + 3 + 81 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 353358711 + ... + 353358729.

Almost surely, 2^6713815680 is an apocalyptic number.

6713815680 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 6713815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14895468000).

6713815680 is an abundant number, since it is smaller than the sum of its proper divisors (23077120320).

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

6713815680 is a wasteful number, since it uses less digits than its factorization.

6713815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 6713815680 is about 81937.8769556546. The cubic root of 6713815680 is about 1886.4985309398.

The spelling of 6713815680 in words is "six billion, seven hundred thirteen million, eight hundred fifteen thousand, six hundred eighty".