1680238137600 has 729 divisors, whose sum is σ = 6616464396997. Its totient is φ = 406500864000.

The previous prime is 1680238137577. The next prime is 1680238137637. The reversal of 1680238137600 is 67318320861.

The square root of 1680238137600 is 1296240.

It is a perfect power (a square), and thus also a powerful number.

1680238137600 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 2 + 3 + 8 + 1 + 37 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 604885729536 + 1075352408064 = 777744^2 + 1036992^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3422073355 + ... + 3422073845.

Almost surely, 2^{1680238137600} is an apocalyptic number.

1680238137600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1680238137600 is the 1296240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680238137600

1680238137600 is an abundant number, since it is smaller than the sum of its proper divisors (4936226259397).

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

1680238137600 is an equidigital number, since it uses as much as digits as its factorization.

1680238137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1680238137600 in words is "one trillion, six hundred eighty billion, two hundred thirty-eight million, one hundred thirty-seven thousand, six hundred".