6729101241408 has 784 divisors, whose sum is σ = 25937712635520. Its totient is φ = 1681282179072.

The previous prime is 6729101241407. The next prime is 6729101241479. The reversal of 6729101241408 is 8041421019276.

It is a super-3 number, since 3×6729101241408³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6729101241407) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 80626516 + ... + 80709932.

Almost surely, 2^{6729101241408} 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 6729101241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12968856317760).

6729101241408 is an abundant number, since it is smaller than the sum of its proper divisors (19208611394112).

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

6729101241408 is a wasteful number, since it uses less digits than its factorization.

6729101241408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83486 (or 83461 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 6729101241408 in words is "six trillion, seven hundred twenty-nine billion, one hundred one million, two hundred forty-one thousand, four hundred eight".