6158977776 has 480 divisors, whose sum is σ = 21712896000. Its totient is φ = 1664312832.

The previous prime is 6158977739. The next prime is 6158977801. The reversal of 6158977776 is 6777798516.

6158977776 is a `hidden beast` number, since 615 + 8 + 9 + 7 + 7 + 7 + 7 + 6 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48495825 + ... + 48495951.

It is an arithmetic number, because the mean of its divisors is an integer number (45235200).

Almost surely, 2^6158977776 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 6158977776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10856448000).

6158977776 is an abundant number, since it is smaller than the sum of its proper divisors (15553918224).

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

6158977776 is a wasteful number, since it uses less digits than its factorization.

6158977776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 247 counting only the distinct ones).

The product of its digits is 31116960, while the sum is 63.

The square root of 6158977776 is about 78479.1550413229. The cubic root of 6158977776 is about 1833.0298853215.

The spelling of 6158977776 in words is "six billion, one hundred fifty-eight million, nine hundred seventy-seven thousand, seven hundred seventy-six".