6077527680 has 512 divisors, whose sum is σ = 23688806400. Its totient is φ = 1295400960.

The previous prime is 6077527667. The next prime is 6077527691. The reversal of 6077527680 is 867257706.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 12082309 + ... + 12082811.

It is an arithmetic number, because the mean of its divisors is an integer number (46267200).

Almost surely, 2^6077527680 is an apocalyptic number.

6077527680 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 6077527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11844403200).

6077527680 is an abundant number, since it is smaller than the sum of its proper divisors (17611278720).

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

6077527680 is a wasteful number, since it uses less digits than its factorization.

6077527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The square root of 6077527680 is about 77958.4997290225. The cubic root of 6077527680 is about 1824.9136312413.

The spelling of 6077527680 in words is "six billion, seventy-seven million, five hundred twenty-seven thousand, six hundred eighty".