6671635801920 has 672 divisors, whose sum is σ = 23960667669120. Its totient is φ = 1702800506880.

The previous prime is 6671635801871. The next prime is 6671635801951. The reversal of 6671635801920 is 291085361766.

It is a congruent number.

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, 976953066 + ... + 976959894.

It is an arithmetic number, because the mean of its divisors is an integer number (35655755460).

Almost surely, 2^{6671635801920} is an apocalyptic number.

6671635801920 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 6671635801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11980333834560).

6671635801920 is an abundant number, since it is smaller than the sum of its proper divisors (17289031867200).

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

6671635801920 is a wasteful number, since it uses less digits than its factorization.

6671635801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7063 (or 7050 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 6671635801920 in words is "six trillion, six hundred seventy-one billion, six hundred thirty-five million, eight hundred one thousand, nine hundred twenty".