207728640000 has 1440 divisors, whose sum is σ = 910235537640. Its totient is φ = 45416448000.

The previous prime is 207728639957. The next prime is 207728640019. The reversal of 207728640000 is 46827702.

207728640000 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 2 + 8 + 640 + 0 + 0 + 0 = 666.

207728640000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 9031679989 + ... + 9031680011.

Almost surely, 2^207728640000 is an apocalyptic number.

207728640000 is a gapful number since it is divisible by the number (20) 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 207728640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455117768820).

207728640000 is an abundant number, since it is smaller than the sum of its proper divisors (702506897640).

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

207728640000 is an frugal number, since it uses more digits than its factorization.

207728640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 207728640000 in words is "two hundred seven billion, seven hundred twenty-eight million, six hundred forty thousand".