7955599680 has 560 divisors, whose sum is σ = 32661636480. Its totient is φ = 1800548352.

The previous prime is 7955599669. The next prime is 7955599711. The reversal of 7955599680 is 869955597.

7955599680 is a `hidden beast` number, since 79 + 5 + 559 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×7955599680² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29574586 + ... + 29574854.

Almost surely, 2^7955599680 is an apocalyptic number.

7955599680 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 7955599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16330818240).

7955599680 is an abundant number, since it is smaller than the sum of its proper divisors (24706036800).

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

7955599680 is a wasteful number, since it uses less digits than its factorization.

7955599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 63.

The square root of 7955599680 is about 89194.1684192414. The cubic root of 7955599680 is about 1996.2931070504.

The spelling of 7955599680 in words is "seven billion, nine hundred fifty-five million, five hundred ninety-nine thousand, six hundred eighty".