6877384920 has 256 divisors, whose sum is σ = 26461900800. Its totient is φ = 1556236800.

The previous prime is 6877384919. The next prime is 6877384931. The reversal of 6877384920 is 294837786.

6877384920 is a `hidden beast` number, since 6 + 87 + 73 + 8 + 492 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 759057 + ... + 768063.

It is an arithmetic number, because the mean of its divisors is an integer number (103366800).

Almost surely, 2^6877384920 is an apocalyptic number.

6877384920 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 6877384920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13230950400).

6877384920 is an abundant number, since it is smaller than the sum of its proper divisors (19584515880).

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

6877384920 is a wasteful number, since it uses less digits than its factorization.

6877384920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9135 (or 9125 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 6877384920 is about 82930.0001205836. Note that the first 3 decimals coincide. The cubic root of 6877384920 is about 1901.6960773826.

The spelling of 6877384920 in words is "six billion, eight hundred seventy-seven million, three hundred eighty-four thousand, nine hundred twenty".