6749817984 has 576 divisors, whose sum is σ = 25070310720. Its totient is φ = 1697034240.

The previous prime is 6749817961. The next prime is 6749818007. The reversal of 6749817984 is 4897189476.

6749817984 is a `hidden beast` number, since 67 + 498 + 1 + 7 + 9 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (6749817961) and next prime (6749818007).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 100743519 + ... + 100743585.

It is an arithmetic number, because the mean of its divisors is an integer number (43524845).

Almost surely, 2^6749817984 is an apocalyptic number.

6749817984 is a gapful number since it is divisible by the number (64) 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 6749817984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12535155360).

6749817984 is an abundant number, since it is smaller than the sum of its proper divisors (18320492736).

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

6749817984 is a wasteful number, since it uses less digits than its factorization.

6749817984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 123 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The square root of 6749817984 is about 82157.2759042070. The cubic root of 6749817984 is about 1889.8645875941.

The spelling of 6749817984 in words is "six billion, seven hundred forty-nine million, eight hundred seventeen thousand, nine hundred eighty-four".