6726581820 has 360 divisors, whose sum is σ = 24819268320. Its totient is φ = 1520467200.

The previous prime is 6726581791. The next prime is 6726581831. The reversal of 6726581820 is 281856276.

6726581820 is a `hidden beast` number, since 67 + 2 + 6 + 581 + 8 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8016961 + ... + 8017799.

It is an arithmetic number, because the mean of its divisors is an integer number (68942412).

Almost surely, 2^6726581820 is an apocalyptic number.

6726581820 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 6726581820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12409634160).

6726581820 is an abundant number, since it is smaller than the sum of its proper divisors (18092686500).

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

6726581820 is a wasteful number, since it uses less digits than its factorization.

6726581820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 6726581820 is about 82015.7412939736. The cubic root of 6726581820 is about 1887.6934826147.

The spelling of 6726581820 in words is "six billion, seven hundred twenty-six million, five hundred eighty-one thousand, eight hundred twenty".