6874163903376 has 320 divisors, whose sum is σ = 24736116787200. Its totient is φ = 1775630937600.

The previous prime is 6874163903221. The next prime is 6874163903381. The reversal of 6874163903376 is 6733093614786.

6874163903376 is a `hidden beast` number, since 6 + 87 + 41 + 63 + 90 + 3 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 5449915 + ... + 6591653.

It is an arithmetic number, because the mean of its divisors is an integer number (77300364960).

Almost surely, 2^{6874163903376} is an apocalyptic number.

6874163903376 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 6874163903376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12368058393600).

6874163903376 is an abundant number, since it is smaller than the sum of its proper divisors (17861952883824).

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

6874163903376 is a wasteful number, since it uses less digits than its factorization.

6874163903376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141955 (or 1141943 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 6874163903376 in words is "six trillion, eight hundred seventy-four billion, one hundred sixty-three million, nine hundred three thousand, three hundred seventy-six".