6129894077076 has 288 divisors, whose sum is σ = 18601524789120. Its totient is φ = 1552681267200.

The previous prime is 6129894076909. The next prime is 6129894077113. The reversal of 6129894077076 is 6707704989216.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 6129894076998 and 6129894077016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 999490506 + ... + 999496638.

It is an arithmetic number, because the mean of its divisors is an integer number (64588627740).

Almost surely, 2^{6129894077076} is an apocalyptic number.

6129894077076 is a gapful number since it is divisible by the number (66) 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 6129894077076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9300762394560).

6129894077076 is an abundant number, since it is smaller than the sum of its proper divisors (12471630712044).

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

6129894077076 is a wasteful number, since it uses less digits than its factorization.

6129894077076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9975 (or 9966 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 66.

The spelling of 6129894077076 in words is "six trillion, one hundred twenty-nine billion, eight hundred ninety-four million, seventy-seven thousand, seventy-six".