6641952000 has 288 divisors, whose sum is σ = 22588325760. Its totient is φ = 1728921600.

The previous prime is 6641951977. The next prime is 6641952007. The reversal of 6641952000 is 2591466.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6641952007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4127196 + ... + 4128804.

Almost surely, 2^6641952000 is an apocalyptic number.

6641952000 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 6641952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11294162880).

6641952000 is an abundant number, since it is smaller than the sum of its proper divisors (15946373760).

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

6641952000 is a wasteful number, since it uses less digits than its factorization.

6641952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 6641952000 is about 81498.1717586352. The cubic root of 6641952000 is about 1879.7434386573.

The spelling of 6641952000 in words is "six billion, six hundred forty-one million, nine hundred fifty-two thousand".