6815135376 has 240 divisors, whose sum is σ = 22493203200. Its totient is φ = 1885565952.

The previous prime is 6815135357. The next prime is 6815135381. The reversal of 6815135376 is 6735315186.

6815135376 is a `hidden beast` number, since 6 + 81 + 513 + 53 + 7 + 6 = 666.

It is a super-2 number, since 2×6815135376² = 92892140386413322752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13389010 + ... + 13389518.

It is an arithmetic number, because the mean of its divisors is an integer number (93721680).

Almost surely, 2^6815135376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6815135376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11246601600).

6815135376 is an abundant number, since it is smaller than the sum of its proper divisors (15678067824).

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

6815135376 is a wasteful number, since it uses less digits than its factorization.

6815135376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 917 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 6815135376 is about 82553.8331999187. The cubic root of 6815135376 is about 1895.9410466100.

The spelling of 6815135376 in words is "six billion, eight hundred fifteen million, one hundred thirty-five thousand, three hundred seventy-six".