6874726158432 has 288 divisors, whose sum is σ = 21683533697280. Its totient is φ = 2048602752000.

The previous prime is 6874726158413. The next prime is 6874726158457. The reversal of 6874726158432 is 2348516274786.

6874726158432 is a `hidden beast` number, since 6 + 8 + 7 + 4 + 7 + 2 + 615 + 8 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6874726158432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87457707 + ... + 87536277.

It is an arithmetic number, because the mean of its divisors is an integer number (75290047560).

Almost surely, 2^{6874726158432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6874726158432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10841766848640).

6874726158432 is an abundant number, since it is smaller than the sum of its proper divisors (14808807538848).

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

6874726158432 is a wasteful number, since it uses less digits than its factorization.

6874726158432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79058 (or 79047 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 6874726158432 in words is "six trillion, eight hundred seventy-four billion, seven hundred twenty-six million, one hundred fifty-eight thousand, four hundred thirty-two".