7415203968 has 160 divisors (see below), whose sum is σ = 22780369920. Its totient is φ = 2391897600.

The previous prime is 7415203963. The next prime is 7415203993. The reversal of 7415203968 is 8693025147.

7415203968 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

7415203968 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (7415203963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 309873 + ... + 332943.

It is an arithmetic number, because the mean of its divisors is an integer number (142377312).

It is a 1-persistent number, because it is pandigital, but 2⋅7415203968 = 14830407936 is not.

Almost surely, 2^7415203968 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 7415203968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11390184960).

7415203968 is an abundant number, since it is smaller than the sum of its proper divisors (15365165952).

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

7415203968 is a wasteful number, since it uses less digits than its factorization.

7415203968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23128 (or 23107 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7415203968 is about 86111.5785942866. The cubic root of 7415203968 is about 1950.0288374434.

The spelling of 7415203968 in words is "seven billion, four hundred fifteen million, two hundred three thousand, nine hundred sixty-eight".