6662334000 has 960 divisors, whose sum is σ = 27944497152. Its totient is φ = 1354752000.

The previous prime is 6662333959. The next prime is 6662334001. The reversal of 6662334000 is 4332666.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6662334001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 154937979 + ... + 154938021.

Almost surely, 2^6662334000 is an apocalyptic number.

6662334000 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 6662334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13972248576).

6662334000 is an abundant number, since it is smaller than the sum of its proper divisors (21282163152).

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

6662334000 is a wasteful number, since it uses less digits than its factorization.

6662334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 6662334000 is about 81623.1217241781. The cubic root of 6662334000 is about 1881.6642498611.

Adding to 6662334000 its reverse (4332666), we get a palindrome (6666666666).

The spelling of 6662334000 in words is "six billion, six hundred sixty-two million, three hundred thirty-four thousand".