6813198972 has 144 divisors (see below), whose sum is σ = 18275991552. Its totient is φ = 2137000320.

The previous prime is 6813198971. The next prime is 6813199031. The reversal of 6813198972 is 2798913186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6813198971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7511343 + ... + 7512249.

It is an arithmetic number, because the mean of its divisors is an integer number (126916608).

Almost surely, 2^6813198972 is an apocalyptic number.

6813198972 is a gapful number since it is divisible by the number (62) 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 6813198972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9137995776).

6813198972 is an abundant number, since it is smaller than the sum of its proper divisors (11462792580).

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

6813198972 is a wasteful number, since it uses less digits than its factorization.

6813198972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1123 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 6813198972 is about 82542.1042377767. The cubic root of 6813198972 is about 1895.7614632077.

The spelling of 6813198972 in words is "six billion, eight hundred thirteen million, one hundred ninety-eight thousand, nine hundred seventy-two".