6766578000 has 1280 divisors, whose sum is σ = 31977953280. Its totient is φ = 1343692800.

The previous prime is 6766577971. The next prime is 6766578001. The reversal of 6766578000 is 8756676.

6766578000 is a `hidden beast` number, since 6 + 76 + 6 + 578 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6766578001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 398033992 + ... + 398034008.

It is an arithmetic number, because the mean of its divisors is an integer number (24982776).

Almost surely, 2^6766578000 is an apocalyptic number.

6766578000 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 6766578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15988976640).

6766578000 is an abundant number, since it is smaller than the sum of its proper divisors (25211375280).

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

6766578000 is a wasteful number, since it uses less digits than its factorization.

6766578000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

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

The square root of 6766578000 is about 82259.2122500574. The cubic root of 6766578000 is about 1891.4274929898.

The spelling of 6766578000 in words is "six billion, seven hundred sixty-six million, five hundred seventy-eight thousand".