6749723990016 has 2304 divisors, whose sum is σ = 26459177472000. Its totient is φ = 1685528248320.

The previous prime is 6749723989993. The next prime is 6749723990039. The reversal of 6749723990016 is 6100993279476.

It is an interprime number because it is at equal distance from previous prime (6749723989993) and next prime (6749723990039).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×6749723990016² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41409349551 + ... + 41409349713.

It is an arithmetic number, because the mean of its divisors is an integer number (11484018000).

Almost surely, 2^{6749723990016} 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 6749723990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13229588736000).

6749723990016 is an abundant number, since it is smaller than the sum of its proper divisors (19709453481984).

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

6749723990016 is a wasteful number, since it uses less digits than its factorization.

6749723990016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 6749723990016 in words is "six trillion, seven hundred forty-nine billion, seven hundred twenty-three million, nine hundred ninety thousand, sixteen".