671779785600 has 1920 divisors, whose sum is σ = 3131582065920. Its totient is φ = 137753395200.

The previous prime is 671779785533. The next prime is 671779785601. The reversal of 671779785600 is 6587977176.

671779785600 is a `hidden beast` number, since 6 + 7 + 17 + 7 + 9 + 7 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671779785601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1935964627 + ... + 1935964973.

It is an arithmetic number, because the mean of its divisors is an integer number (1631032326).

Almost surely, 2^671779785600 is an apocalyptic number.

671779785600 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 671779785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565791032960).

671779785600 is an abundant number, since it is smaller than the sum of its proper divisors (2459802280320).

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

671779785600 is a wasteful number, since it uses less digits than its factorization.

671779785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 63.

The spelling of 671779785600 in words is "six hundred seventy-one billion, seven hundred seventy-nine million, seven hundred eighty-five thousand, six hundred".