7121673216 has 264 divisors, whose sum is σ = 23755746144. Its totient is φ = 2012774400.

The previous prime is 7121673203. The next prime is 7121673217. The reversal of 7121673216 is 6123761217.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7121673217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6515166 + ... + 6516258.

Almost surely, 2^7121673216 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 7121673216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11877873072).

7121673216 is an abundant number, since it is smaller than the sum of its proper divisors (16634072928).

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

7121673216 is a wasteful number, since it uses less digits than its factorization.

7121673216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1206 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 7121673216 is about 84390.0066121576. The cubic root of 7121673216 is about 1923.9510305467.

The spelling of 7121673216 in words is "seven billion, one hundred twenty-one million, six hundred seventy-three thousand, two hundred sixteen".