6801966900 has 360 divisors, whose sum is σ = 23865722496. Its totient is φ = 1669248000.

The previous prime is 6801966887. The next prime is 6801966901. The reversal of 6801966900 is 96691086.

It is a super-2 number, since 2×6801966900² = 92533507417391220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6801966901) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6471375 + ... + 6472425.

Almost surely, 2^6801966900 is an apocalyptic number.

6801966900 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 6801966900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11932861248).

6801966900 is an abundant number, since it is smaller than the sum of its proper divisors (17063755596).

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

6801966900 is a wasteful number, since it uses less digits than its factorization.

6801966900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 6801966900 is about 82474.0377330951. The cubic root of 6801966900 is about 1894.7191216544.

The spelling of 6801966900 in words is "six billion, eight hundred one million, nine hundred sixty-six thousand, nine hundred".