5955079680 has 240 divisors, whose sum is σ = 22499992944. Its totient is φ = 1443594240.

The previous prime is 5955079679. The next prime is 5955079687. The reversal of 5955079680 is 869705595.

It is a happy number.

5955079680 is a `hidden beast` number, since 5 + 9 + 550 + 7 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5955079687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241692 + ... + 265188.

Almost surely, 2^5955079680 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 5955079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249996472).

5955079680 is an abundant number, since it is smaller than the sum of its proper divisors (16544913264).

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

5955079680 is a wasteful number, since it uses less digits than its factorization.

5955079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23537 (or 23518 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The square root of 5955079680 is about 77169.1627530065. The cubic root of 5955079680 is about 1812.5744710107.

The spelling of 5955079680 in words is "five billion, nine hundred fifty-five million, seventy-nine thousand, six hundred eighty".