6942429164160 has 1536 divisors, whose sum is σ = 30206753280000. Its totient is φ = 1498372743168.

The previous prime is 6942429164147. The next prime is 6942429164197. The reversal of 6942429164160 is 614619242496.

6942429164160 is a `hidden beast` number, since 6 + 9 + 42 + 429 + 16 + 4 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6942429164097 and 6942429164106.

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, 7062491029 + ... + 7062492011.

It is an arithmetic number, because the mean of its divisors is an integer number (19665855000).

Almost surely, 2^{6942429164160} is an apocalyptic number.

6942429164160 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 6942429164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15103376640000).

6942429164160 is an abundant number, since it is smaller than the sum of its proper divisors (23264324115840).

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

6942429164160 is a wasteful number, since it uses less digits than its factorization.

6942429164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 6942429164160 in words is "six trillion, nine hundred forty-two billion, four hundred twenty-nine million, one hundred sixty-four thousand, one hundred sixty".