6582968436 has 48 divisors (see below), whose sum is σ = 16783925760. Its totient is φ = 1991591520.

The previous prime is 6582968407. The next prime is 6582968449. The reversal of 6582968436 is 6348692856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41425 + ... + 121991.

It is an arithmetic number, because the mean of its divisors is an integer number (349665120).

Almost surely, 2^6582968436 is an apocalyptic number.

6582968436 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6582968436 is an abundant number, since it is smaller than the sum of its proper divisors (10200957324).

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

6582968436 is a wasteful number, since it uses less digits than its factorization.

6582968436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81204 (or 81202 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 57.

The square root of 6582968436 is about 81135.4943042809. The cubic root of 6582968436 is about 1874.1625592164.

The spelling of 6582968436 in words is "six billion, five hundred eighty-two million, nine hundred sixty-eight thousand, four hundred thirty-six".