6819671040 has 1056 divisors, whose sum is σ = 29638332864. Its totient is φ = 1321205760.

The previous prime is 6819671029. The next prime is 6819671041. The reversal of 6819671040 is 401769186.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6819670983 and 6819671001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6819671041) 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, 166333420 + ... + 166333460.

Almost surely, 2^6819671040 is an apocalyptic number.

6819671040 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 6819671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819166432).

6819671040 is an abundant number, since it is smaller than the sum of its proper divisors (22818661824).

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

6819671040 is a wasteful number, since it uses less digits than its factorization.

6819671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 6819671040 is about 82581.2995780522. The cubic root of 6819671040 is about 1896.3615540091.

The spelling of 6819671040 in words is "six billion, eight hundred nineteen million, six hundred seventy-one thousand, forty".