6971993952 has 192 divisors, whose sum is σ = 23108198400. Its totient is φ = 1787834880.

The previous prime is 6971993927. The next prime is 6971994037. The reversal of 6971993952 is 2593991796.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577999 + ... + 589937.

It is an arithmetic number, because the mean of its divisors is an integer number (120355200).

Almost surely, 2^6971993952 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 6971993952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11554099200).

6971993952 is an abundant number, since it is smaller than the sum of its proper divisors (16136204448).

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

6971993952 is a wasteful number, since it uses less digits than its factorization.

6971993952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12049 (or 12041 counting only the distinct ones).

The product of its digits is 8266860, while the sum is 60.

The square root of 6971993952 is about 83498.4667643664. The cubic root of 6971993952 is about 1910.3766471196.

The spelling of 6971993952 in words is "six billion, nine hundred seventy-one million, nine hundred ninety-three thousand, nine hundred fifty-two".