7957543680 has 720 divisors, whose sum is σ = 30771062784. Its totient is φ = 1958584320.

The previous prime is 7957543619. The next prime is 7957543681. The reversal of 7957543680 is 863457597.

7957543680 is a `hidden beast` number, since 7 + 9 + 575 + 4 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7957543681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 112078045 + ... + 112078115.

Almost surely, 2^7957543680 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 7957543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15385531392).

7957543680 is an abundant number, since it is smaller than the sum of its proper divisors (22813519104).

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

7957543680 is a wasteful number, since it uses less digits than its factorization.

7957543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 7957543680 is about 89205.0653270317. The cubic root of 7957543680 is about 1996.4556959982.

The spelling of 7957543680 in words is "seven billion, nine hundred fifty-seven million, five hundred forty-three thousand, six hundred eighty".