6861374014176 has 768 divisors, whose sum is σ = 24517130803200. Its totient is φ = 1841069260800.

The previous prime is 6861374014073. The next prime is 6861374014273. The reversal of 6861374014176 is 6714104731686.

6861374014176 is a `hidden beast` number, since 6 + 8 + 61 + 3 + 7 + 401 + 4 + 176 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 226664770 + ... + 226695038.

It is an arithmetic number, because the mean of its divisors is an integer number (31923347400).

Almost surely, 2^{6861374014176} is an apocalyptic number.

6861374014176 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 6861374014176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12258565401600).

6861374014176 is an abundant number, since it is smaller than the sum of its proper divisors (17655756789024).

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

6861374014176 is a wasteful number, since it uses less digits than its factorization.

6861374014176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30400 (or 30386 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 6861374014176 in words is "six trillion, eight hundred sixty-one billion, three hundred seventy-four million, fourteen thousand, one hundred seventy-six".