6874556693760 has 576 divisors, whose sum is σ = 28156287720960. Its totient is φ = 1555764019200.

The previous prime is 6874556693747. The next prime is 6874556693777. The reversal of 6874556693760 is 673966554786.

6874556693760 is a `hidden beast` number, since 6 + 8 + 7 + 4 + 556 + 6 + 9 + 3 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 24293244 + ... + 24574596.

It is an arithmetic number, because the mean of its divisors is an integer number (48882443960).

Almost surely, 2^{6874556693760} is an apocalyptic number.

6874556693760 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 6874556693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14078143860480).

6874556693760 is an abundant number, since it is smaller than the sum of its proper divisors (21281731027200).

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

6874556693760 is a wasteful number, since it uses less digits than its factorization.

6874556693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281491 (or 281471 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 6874556693760 in words is "six trillion, eight hundred seventy-four billion, five hundred fifty-six million, six hundred ninety-three thousand, seven hundred sixty".