6401766042 has 128 divisors (see below), whose sum is σ = 17513349120. Its totient is φ = 1693042560.

The previous prime is 6401766029. The next prime is 6401766071. The reversal of 6401766042 is 2406671046.

6401766042 is a `hidden beast` number, since 6 + 40 + 1 + 7 + 6 + 604 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6401765988 and 6401766006.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257638 + ... + 281390.

It is an arithmetic number, because the mean of its divisors is an integer number (136823040).

Almost surely, 2^6401766042 is an apocalyptic number.

6401766042 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6401766042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8756674560).

6401766042 is an abundant number, since it is smaller than the sum of its proper divisors (11111583078).

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

6401766042 is a wasteful number, since it uses less digits than its factorization.

6401766042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23825 (or 23819 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6401766042 is about 80011.0370011538. The cubic root of 6401766042 is about 1856.8062935899.

The spelling of 6401766042 in words is "six billion, four hundred one million, seven hundred sixty-six thousand, forty-two".