6881952000 has 1152 divisors, whose sum is σ = 30610944000. Its totient is φ = 1354752000.

The previous prime is 6881951987. The next prime is 6881952001. The reversal of 6881952000 is 2591886.

It is a super-2 number, since 2×6881952000² = 94722526660608000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6881952000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6881952001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 362207991 + ... + 362208009.

It is an arithmetic number, because the mean of its divisors is an integer number (26572000).

Almost surely, 2^6881952000 is an apocalyptic number.

6881952000 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 6881952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15305472000).

6881952000 is an abundant number, since it is smaller than the sum of its proper divisors (23728992000).

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

6881952000 is a wasteful number, since it uses less digits than its factorization.

6881952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 6881952000 is about 82957.5313036737. The cubic root of 6881952000 is about 1902.1169387225.

The spelling of 6881952000 in words is "six billion, eight hundred eighty-one million, nine hundred fifty-two thousand".