6129698799840 has 384 divisors, whose sum is σ = 24632842493952. Its totient is φ = 1244082309120.

The previous prime is 6129698799839. The next prime is 6129698799841. The reversal of 6129698799840 is 489978969216.

It is an interprime number because it is at equal distance from previous prime (6129698799839) and next prime (6129698799841).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6129698799841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339172 + ... + 3517731.

It is an arithmetic number, because the mean of its divisors is an integer number (64148027328).

Almost surely, 2^{6129698799840} is an apocalyptic number.

6129698799840 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 6129698799840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12316421246976).

6129698799840 is an abundant number, since it is smaller than the sum of its proper divisors (18503143694112).

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

6129698799840 is a wasteful number, since it uses less digits than its factorization.

6129698799840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856982 (or 3856974 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 78.

The spelling of 6129698799840 in words is "six trillion, one hundred twenty-nine billion, six hundred ninety-eight million, seven hundred ninety-nine thousand, eight hundred forty".