6813836640 has 864 divisors, whose sum is σ = 28100138976. Its totient is φ = 1552711680.

The previous prime is 6813836597. The next prime is 6813836681. The reversal of 6813836640 is 466383186.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 111702210 + ... + 111702270.

It is an arithmetic number, because the mean of its divisors is an integer number (32523309).

Almost surely, 2^6813836640 is an apocalyptic number.

6813836640 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 6813836640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14050069488).

6813836640 is an abundant number, since it is smaller than the sum of its proper divisors (21286302336).

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

6813836640 is a wasteful number, since it uses less digits than its factorization.

6813836640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6813836640 is about 82545.9668306090. The cubic root of 6813836640 is about 1895.8206047218.

The spelling of 6813836640 in words is "six billion, eight hundred thirteen million, eight hundred thirty-six thousand, six hundred forty".