7400834016 has 96 divisors (see below), whose sum is σ = 20305893888. Its totient is φ = 2355724800.

The previous prime is 7400833987. The next prime is 7400834069. The reversal of 7400834016 is 6104380047.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1492341 + ... + 1497291.

It is an arithmetic number, because the mean of its divisors is an integer number (211519728).

Almost surely, 2^7400834016 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 7400834016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10152946944).

7400834016 is an abundant number, since it is smaller than the sum of its proper divisors (12905059872).

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

7400834016 is a wasteful number, since it uses less digits than its factorization.

7400834016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 7400834016 is about 86028.1001533801. The cubic root of 7400834016 is about 1948.7683667661.

The spelling of 7400834016 in words is "seven billion, four hundred million, eight hundred thirty-four thousand, sixteen".