6866626400 has 144 divisors (see below), whose sum is σ = 17928540000. Its totient is φ = 2558976000.

The previous prime is 6866626381. The next prime is 6866626421. The reversal of 6866626400 is 46266686.

6866626400 = T₁₉₀ + T₁₉₁ + ... + T₃₄₅₃.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1371101 + ... + 1376099.

It is an arithmetic number, because the mean of its divisors is an integer number (124503750).

Almost surely, 2^6866626400 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 6866626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964270000).

6866626400 is an abundant number, since it is smaller than the sum of its proper divisors (11061913600).

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

6866626400 is a wasteful number, since it uses less digits than its factorization.

6866626400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5137 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The square root of 6866626400 is about 82865.1096662522. The cubic root of 6866626400 is about 1900.7039312273.

The spelling of 6866626400 in words is "six billion, eight hundred sixty-six million, six hundred twenty-six thousand, four hundred".