6967138900 has 72 divisors (see below), whose sum is σ = 16279583040. Its totient is φ = 2578429440.

The previous prime is 6967138891. The next prime is 6967138921. The reversal of 6967138900 is 98317696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65569 + ... + 135031.

It is an arithmetic number, because the mean of its divisors is an integer number (226105320).

Almost surely, 2^6967138900 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 6967138900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8139791520).

6967138900 is an abundant number, since it is smaller than the sum of its proper divisors (9312444140).

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

6967138900 is a wasteful number, since it uses less digits than its factorization.

6967138900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69553 (or 69546 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The square root of 6967138900 is about 83469.3889998004. The cubic root of 6967138900 is about 1909.9331043884.

The spelling of 6967138900 in words is "six billion, nine hundred sixty-seven million, one hundred thirty-eight thousand, nine hundred".