7643013120 has 224 divisors, whose sum is σ = 27177431040. Its totient is φ = 2037841920.

The previous prime is 7643013109. The next prime is 7643013127. The reversal of 7643013120 is 213103467.

7643013120 is a `hidden beast` number, since 7 + 643 + 0 + 1 + 3 + 12 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7643013127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1102465 + ... + 1109375.

Almost surely, 2^7643013120 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 7643013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13588715520).

7643013120 is an abundant number, since it is smaller than the sum of its proper divisors (19534417920).

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

7643013120 is an equidigital number, since it uses as much as digits as its factorization.

7643013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6951 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7643013120 is about 87424.3279642457. The cubic root of 7643013120 is about 1969.7972873261.

Adding to 7643013120 its reverse (213103467), we get a palindrome (7856116587).

The spelling of 7643013120 in words is "seven billion, six hundred forty-three million, thirteen thousand, one hundred twenty".