6874464001680 has 480 divisors, whose sum is σ = 26866623759360. Its totient is φ = 1612775577600.

The previous prime is 6874464001631. The next prime is 6874464001697. The reversal of 6874464001680 is 861004644786.

6874464001680 is a `hidden beast` number, since 6 + 8 + 74 + 4 + 6 + 400 + 168 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 7677924 + ... + 8526396.

It is an arithmetic number, because the mean of its divisors is an integer number (55972132832).

Almost surely, 2^{6874464001680} is an apocalyptic number.

6874464001680 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 6874464001680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13433311879680).

6874464001680 is an abundant number, since it is smaller than the sum of its proper divisors (19992159757680).

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

6874464001680 is a wasteful number, since it uses less digits than its factorization.

6874464001680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848548 (or 848525 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 6874464001680 in words is "six trillion, eight hundred seventy-four billion, four hundred sixty-four million, one thousand, six hundred eighty".