6607765080 has 256 divisors, whose sum is σ = 25232256000. Its totient is φ = 1506760704.

The previous prime is 6607765069. The next prime is 6607765091. The reversal of 6607765080 is 805677066.

It is an interprime number because it is at equal distance from previous prime (6607765069) and next prime (6607765091).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4436976 + ... + 4438464.

It is an arithmetic number, because the mean of its divisors is an integer number (98563500).

Almost surely, 2^6607765080 is an apocalyptic number.

6607765080 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 6607765080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12616128000).

6607765080 is an abundant number, since it is smaller than the sum of its proper divisors (18624490920).

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

6607765080 is a wasteful number, since it uses less digits than its factorization.

6607765080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 6607765080 is about 81288.1607615771. The cubic root of 6607765080 is about 1876.5128015019.

It can be divided in two parts, 660776 and 5080, that added together give a square (665856 = 816²).

The spelling of 6607765080 in words is "six billion, six hundred seven million, seven hundred sixty-five thousand, eighty".