7743724416 has 160 divisors (see below), whose sum is σ = 23230606080. Its totient is φ = 2560481280.

The previous prime is 7743724399. The next prime is 7743724423. The reversal of 7743724416 is 6144273477.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1313796 + ... + 1319676.

It is an arithmetic number, because the mean of its divisors is an integer number (145191288).

Almost surely, 2^7743724416 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 7743724416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11615303040).

7743724416 is an abundant number, since it is smaller than the sum of its proper divisors (15486881664).

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

7743724416 is a wasteful number, since it uses less digits than its factorization.

7743724416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6034 (or 6013 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 7743724416 is about 87998.4341678873. The cubic root of 7743724416 is about 1978.4115083131.

The spelling of 7743724416 in words is "seven billion, seven hundred forty-three million, seven hundred twenty-four thousand, four hundred sixteen".