6861906141840 has 120 divisors (see below), whose sum is σ = 23898070717248. Its totient is φ = 1829841632640.

The previous prime is 6861906141829. The next prime is 6861906141841. The reversal of 6861906141840 is 481416091686.

6861906141840 is a `hidden beast` number, since 6 + 8 + 6 + 1 + 9 + 0 + 614 + 18 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (6861906141841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176469916 + ... + 176508795.

Almost surely, 2^{6861906141840} is an apocalyptic number.

6861906141840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6861906141840 is an abundant number, since it is smaller than the sum of its proper divisors (17036164575408).

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

6861906141840 is a wasteful number, since it uses less digits than its factorization.

6861906141840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352978739 (or 352978721 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 6861906141840 in words is "six trillion, eight hundred sixty-one billion, nine hundred six million, one hundred forty-one thousand, eight hundred forty".