6177887872 has 128 divisors (see below), whose sum is σ = 13753696320. Its totient is φ = 2745753600.

The previous prime is 6177887869. The next prime is 6177887879. The reversal of 6177887872 is 2787887716.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 6177887872.

It is not an unprimeable number, because it can be changed into a prime (6177887879) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5662047 + ... + 5663137.

Almost surely, 2^6177887872 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 6177887872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876848160).

6177887872 is an abundant number, since it is smaller than the sum of its proper divisors (7575808448).

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

6177887872 is a wasteful number, since it uses less digits than its factorization.

6177887872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1230 counting only the distinct ones).

The product of its digits is 14751744, while the sum is 61.

The square root of 6177887872 is about 78599.5411691442. The cubic root of 6177887872 is about 1834.9039709985.

The spelling of 6177887872 in words is "six billion, one hundred seventy-seven million, eight hundred eighty-seven thousand, eight hundred seventy-two".