7963240320 has 768 divisors, whose sum is σ = 33972756480. Its totient is φ = 1678786560.

The previous prime is 7963240291. The next prime is 7963240321. The reversal of 7963240320 is 230423697.

It is a happy number.

7963240320 is a `hidden beast` number, since 7 + 9 + 6 + 324 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7963240321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28748022 + ... + 28748298.

It is an arithmetic number, because the mean of its divisors is an integer number (44235360).

Almost surely, 2^7963240320 is an apocalyptic number.

7963240320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7963240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16986378240).

7963240320 is an abundant number, since it is smaller than the sum of its proper divisors (26009516160).

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

7963240320 is a wasteful number, since it uses less digits than its factorization.

7963240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 7963240320 is about 89236.9896399470. The cubic root of 7963240320 is about 1996.9319893953.

The spelling of 7963240320 in words is "seven billion, nine hundred sixty-three million, two hundred forty thousand, three hundred twenty".