6077122560 has 576 divisors, whose sum is σ = 22813539840. Its totient is φ = 1492254720.

The previous prime is 6077122531. The next prime is 6077122561. The reversal of 6077122560 is 652217706.

6077122560 is a `hidden beast` number, since 6 + 0 + 7 + 71 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6077122561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99624930 + ... + 99624990.

It is an arithmetic number, because the mean of its divisors is an integer number (39606840).

Almost surely, 2^6077122560 is an apocalyptic number.

6077122560 is a gapful number since it is divisible by the number (60) 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 6077122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11406769920).

6077122560 is an abundant number, since it is smaller than the sum of its proper divisors (16736417280).

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

6077122560 is a wasteful number, since it uses less digits than its factorization.

6077122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 6077122560 is about 77955.9013802034. The cubic root of 6077122560 is about 1824.8730815597.

The spelling of 6077122560 in words is "six billion, seventy-seven million, one hundred twenty-two thousand, five hundred sixty".