6077905488 has 120 divisors (see below), whose sum is σ = 17212533000. Its totient is φ = 2001964032.

The previous prime is 6077905487. The next prime is 6077905499. The reversal of 6077905488 is 8845097706.

6077905488 is a `hidden beast` number, since 6 + 0 + 7 + 7 + 90 + 548 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1762992144 + 4314913344 = 41988^2 + 65688^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6077905487) 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, 4912806 + ... + 4914042.

It is an arithmetic number, because the mean of its divisors is an integer number (143437775).

Almost surely, 2^6077905488 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 6077905488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8606266500).

6077905488 is an abundant number, since it is smaller than the sum of its proper divisors (11134627512).

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

6077905488 is a wasteful number, since it uses less digits than its factorization.

6077905488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 6077905488 is about 77960.9228267598. The cubic root of 6077905488 is about 1824.9514455588.

It can be divided in two parts, 607790 and 5488, that added together give a triangular number (613278 = T₁₁₀₇).

The spelling of 6077905488 in words is "six billion, seventy-seven million, nine hundred five thousand, four hundred eighty-eight".