641996208000 has 1536 divisors, whose sum is σ = 2742513396480. Its totient is φ = 140894208000.

The previous prime is 641996207959. The next prime is 641996208011. The reversal of 641996208000 is 802699146.

It is a happy number.

641996208000 is a `hidden beast` number, since 6 + 4 + 19 + 9 + 620 + 8 + 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3258863902 + ... + 3258864098.

Almost surely, 2^641996208000 is an apocalyptic number.

641996208000 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 641996208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371256698240).

641996208000 is an abundant number, since it is smaller than the sum of its proper divisors (2100517188480).

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

641996208000 is a wasteful number, since it uses less digits than its factorization.

641996208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 641996208000 in words is "six hundred forty-one billion, nine hundred ninety-six million, two hundred eight thousand".