6866601984 has 480 divisors, whose sum is σ = 23117814720. Its totient is φ = 2012774400.

The previous prime is 6866601961. The next prime is 6866601997. The reversal of 6866601984 is 4891066686.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6866601984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 96712669 + ... + 96712739.

It is an arithmetic number, because the mean of its divisors is an integer number (48162114).

Almost surely, 2^6866601984 is an apocalyptic number.

6866601984 is a gapful number since it is divisible by the number (64) 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 6866601984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11558907360).

6866601984 is an abundant number, since it is smaller than the sum of its proper divisors (16251212736).

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

6866601984 is a wasteful number, since it uses less digits than its factorization.

6866601984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 6866601984 is about 82864.9623423555. The cubic root of 6866601984 is about 1900.7016784159.

The spelling of 6866601984 in words is "six billion, eight hundred sixty-six million, six hundred one thousand, nine hundred eighty-four".