6863776920 has 768 divisors, whose sum is σ = 31302028800. Its totient is φ = 1315077120.

The previous prime is 6863776883. The next prime is 6863776967. The reversal of 6863776920 is 296773686.

It is a super-2 number, since 2×6863776920² = 94222867215049372800, which contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 7567107 + ... + 7568013.

It is an arithmetic number, because the mean of its divisors is an integer number (40757850).

Almost surely, 2^6863776920 is an apocalyptic number.

6863776920 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 6863776920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15651014400).

6863776920 is an abundant number, since it is smaller than the sum of its proper divisors (24438251880).

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

6863776920 is a wasteful number, since it uses less digits than its factorization.

6863776920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 6863776920 is about 82847.9143974065. The cubic root of 6863776920 is about 1900.4409798222.

The spelling of 6863776920 in words is "six billion, eight hundred sixty-three million, seven hundred seventy-six thousand, nine hundred twenty".