6874691616 has 168 divisors, whose sum is σ = 21854469420. Its totient is φ = 2115196416.

The previous prime is 6874691597. The next prime is 6874691641. The reversal of 6874691616 is 6161964786.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6790419216 + 84272400 = 82404^2 + 9180^2 .

It is a super-2 number, since 2×6874691616² = 94522769630201382912, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 291930 + ... + 314598.

Almost surely, 2^6874691616 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 6874691616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10927234710).

6874691616 is an abundant number, since it is smaller than the sum of its proper divisors (14979777804).

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

6874691616 is a wasteful number, since it uses less digits than its factorization.

6874691616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22710 (or 22687 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 6874691616 is about 82913.7601125410. The cubic root of 6874691616 is about 1901.4477991752.

The spelling of 6874691616 in words is "six billion, eight hundred seventy-four million, six hundred ninety-one thousand, six hundred sixteen".