6882577451820 has 288 divisors, whose sum is σ = 24441568639488. Its totient is φ = 1534870342656.

The previous prime is 6882577451719. The next prime is 6882577451821. The reversal of 6882577451820 is 281547752886.

6882577451820 is a `hidden beast` number, since 6 + 8 + 8 + 2 + 577 + 4 + 51 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6882577451821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49071232 + ... + 49211288.

It is an arithmetic number, because the mean of its divisors is an integer number (84866557776).

Almost surely, 2^{6882577451820} is an apocalyptic number.

6882577451820 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 6882577451820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12220784319744).

6882577451820 is an abundant number, since it is smaller than the sum of its proper divisors (17558991187668).

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

6882577451820 is a wasteful number, since it uses less digits than its factorization.

6882577451820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141029 (or 141024 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 6882577451820 in words is "six trillion, eight hundred eighty-two billion, five hundred seventy-seven million, four hundred fifty-one thousand, eight hundred twenty".