6823960740900 has 180 divisors, whose sum is σ = 22149672629700. Its totient is φ = 1817329996800.

The previous prime is 6823960740869. The next prime is 6823960740917. The reversal of 6823960740900 is 90470693286.

It is a happy number.

6823960740900 is a `hidden beast` number, since 6 + 8 + 23 + 9 + 607 + 4 + 0 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 644401140516 + 6179559600384 = 802746^2 + 2485872^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5610576 + ... + 6717624.

Almost surely, 2^{6823960740900} is an apocalyptic number.

6823960740900 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 6823960740900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11074836314850).

6823960740900 is an abundant number, since it is smaller than the sum of its proper divisors (15325711888800).

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

6823960740900 is a wasteful number, since it uses less digits than its factorization.

6823960740900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107836 (or 1107820 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 6823960740900 in words is "six trillion, eight hundred twenty-three billion, nine hundred sixty million, seven hundred forty thousand, nine hundred".