7938996480 has 648 divisors, whose sum is σ = 30614770368. Its totient is φ = 1895325696.

The previous prime is 7938996473. The next prime is 7938996577. The reversal of 7938996480 is 846998397.

7938996480 is a `hidden beast` number, since 79 + 3 + 89 + 9 + 6 + 480 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 95650519 + ... + 95650601.

It is an arithmetic number, because the mean of its divisors is an integer number (47245016).

Almost surely, 2^7938996480 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 7938996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15307385184).

7938996480 is an abundant number, since it is smaller than the sum of its proper divisors (22675773888).

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

7938996480 is a wasteful number, since it uses less digits than its factorization.

7938996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The square root of 7938996480 is about 89101.0464585013. The cubic root of 7938996480 is about 1994.9033966828.

The spelling of 7938996480 in words is "seven billion, nine hundred thirty-eight million, nine hundred ninety-six thousand, four hundred eighty".