7927972416 has 224 divisors, whose sum is σ = 28685825280. Its totient is φ = 2090852352.

The previous prime is 7927972303. The next prime is 7927972417. The reversal of 7927972416 is 6142797297.

7927972416 is a `hidden beast` number, since 7 + 92 + 79 + 72 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (7927972417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132040 + ... + 182456.

It is an arithmetic number, because the mean of its divisors is an integer number (128061720).

Almost surely, 2^7927972416 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 7927972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342912640).

7927972416 is an abundant number, since it is smaller than the sum of its proper divisors (20757852864).

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

7927972416 is a wasteful number, since it uses less digits than its factorization.

7927972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50458 (or 50442 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 7927972416 is about 89039.1622602100. The cubic root of 7927972416 is about 1993.9795968908.

The spelling of 7927972416 in words is "seven billion, nine hundred twenty-seven million, nine hundred seventy-two thousand, four hundred sixteen".