207012672000 has 1440 divisors, whose sum is σ = 848072974320. Its totient is φ = 50164531200.

The previous prime is 207012671977. The next prime is 207012672043. The reversal of 207012672000 is 276210702.

It can be written as a sum of positive squares in 8 ways, for example, as 22992263424 + 184020408576 = 151632^2 + 428976^2 .

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7138367986 + ... + 7138368014.

Almost surely, 2^207012672000 is an apocalyptic number.

207012672000 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 207012672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424036487160).

207012672000 is an abundant number, since it is smaller than the sum of its proper divisors (641060302320).

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

207012672000 is an frugal number, since it uses more digits than its factorization.

207012672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 207012672000 its reverse (276210702), we get a palindrome (207288882702).

The spelling of 207012672000 in words is "two hundred seven billion, twelve million, six hundred seventy-two thousand".