7955559360 has 672 divisors, whose sum is σ = 33550433280. Its totient is φ = 1688961024.

The previous prime is 7955559349. The next prime is 7955559361. The reversal of 7955559360 is 639555597.

It is a happy number.

7955559360 is a `hidden beast` number, since 7 + 9 + 55 + 559 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 7955559297 and 7955559306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7955559361) 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, 47637997 + ... + 47638163.

It is an arithmetic number, because the mean of its divisors is an integer number (49926240).

Almost surely, 2^7955559360 is an apocalyptic number.

7955559360 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 7955559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16775216640).

7955559360 is an abundant number, since it is smaller than the sum of its proper divisors (25594873920).

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

7955559360 is a wasteful number, since it uses less digits than its factorization.

7955559360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 6378750, while the sum is 54.

The square root of 7955559360 is about 89193.9423952098. The cubic root of 7955559360 is about 1996.2897345548.

The spelling of 7955559360 in words is "seven billion, nine hundred fifty-five million, five hundred fifty-nine thousand, three hundred sixty".