6719251968 has 600 divisors, whose sum is σ = 23970330384. Its totient is φ = 1861263360.

The previous prime is 6719251949. The next prime is 6719251997. The reversal of 6719251968 is 8691529176.

6719251968 is a `hidden beast` number, since 67 + 1 + 9 + 2 + 519 + 68 = 666.

It is a super-3 number, since 3×6719251968³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1632960) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 65235405 + ... + 65235507.

Almost surely, 2^6719251968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6719251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11985165192).

6719251968 is an abundant number, since it is smaller than the sum of its proper divisors (17251078416).

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

6719251968 is a wasteful number, since it uses less digits than its factorization.

6719251968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 132 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 6719251968 is about 81971.0434726800. The cubic root of 6719251968 is about 1887.0075699636.

The spelling of 6719251968 in words is "six billion, seven hundred nineteen million, two hundred fifty-one thousand, nine hundred sixty-eight".