667621785600 has 1824 divisors, whose sum is σ = 3120556224000. Its totient is φ = 138726604800.

The previous prime is 667621785599. The next prime is 667621785601. The reversal of 667621785600 is 6587126766.

667621785600 is a `hidden beast` number, since 6 + 6 + 7 + 6 + 2 + 1 + 78 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (667621785599) and next prime (667621785601).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667621785601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60692889595 + ... + 60692889605.

Almost surely, 2^667621785600 is an apocalyptic number.

667621785600 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 667621785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560278112000).

667621785600 is an abundant number, since it is smaller than the sum of its proper divisors (2452934438400).

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

667621785600 is an frugal number, since it uses more digits than its factorization.

667621785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 667621785600 in words is "six hundred sixty-seven billion, six hundred twenty-one million, seven hundred eighty-five thousand, six hundred".