7953943680 has 384 divisors, whose sum is σ = 30095161200. Its totient is φ = 1926758400.

The previous prime is 7953943667. The next prime is 7953943681. The reversal of 7953943680 is 863493597.

7953943680 is a `hidden beast` number, since 7 + 9 + 539 + 43 + 68 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4721338944 + 3232604736 = 68712^2 + 56856^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7953943680² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7953943681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2838280 + ... + 2841080.

Almost surely, 2^7953943680 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 7953943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15047580600).

7953943680 is an abundant number, since it is smaller than the sum of its proper divisors (22141217520).

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

7953943680 is a wasteful number, since it uses less digits than its factorization.

7953943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 7953943680 is about 89184.8848180004. The cubic root of 7953943680 is about 1996.1545844616.

The spelling of 7953943680 in words is "seven billion, nine hundred fifty-three million, nine hundred forty-three thousand, six hundred eighty".