6739866000 has 480 divisors, whose sum is σ = 27158976000. Its totient is φ = 1525939200.

The previous prime is 6739865989. The next prime is 6739866011. The reversal of 6739866000 is 6689376.

6739866000 is a `hidden beast` number, since 6 + 7 + 39 + 8 + 6 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6739865989) and next prime (6739866011).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18773821 + ... + 18774179.

It is an arithmetic number, because the mean of its divisors is an integer number (56581200).

Almost surely, 2^6739866000 is an apocalyptic number.

6739866000 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 6739866000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13579488000).

6739866000 is an abundant number, since it is smaller than the sum of its proper divisors (20419110000).

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

6739866000 is a wasteful number, since it uses less digits than its factorization.

6739866000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6739866000 is about 82096.6869002641. The cubic root of 6739866000 is about 1888.9353204016.

The spelling of 6739866000 in words is "six billion, seven hundred thirty-nine million, eight hundred sixty-six thousand".