7938417920 has 144 divisors (see below), whose sum is σ = 20346491088. Its totient is φ = 2956984320.

The previous prime is 7938417901. The next prime is 7938417941. The reversal of 7938417920 is 297148397.

It can be written as a sum of positive squares in 8 ways, for example, as 4596736 + 7933821184 = 2144^2 + 89072^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2108840 + ... + 2112600.

It is an arithmetic number, because the mean of its divisors is an integer number (141295077).

Almost surely, 2^7938417920 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 7938417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10173245544).

7938417920 is an abundant number, since it is smaller than the sum of its proper divisors (12408073168).

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

7938417920 is a wasteful number, since it uses less digits than its factorization.

7938417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 50.

The square root of 7938417920 is about 89097.7997483664. The cubic root of 7938417920 is about 1994.8549355056.

The spelling of 7938417920 in words is "seven billion, nine hundred thirty-eight million, four hundred seventeen thousand, nine hundred twenty".