1874872947600 has 225 divisors, whose sum is σ = 6729653222017. Its totient is φ = 499900394880.

The previous prime is 1874872947581. The next prime is 1874872947637. The reversal of 1874872947600 is 67492784781.

The square root of 1874872947600 is 1369260.

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

1874872947600 is a `hidden beast` number, since 1 + 8 + 7 + 487 + 2 + 94 + 7 + 60 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 674954261136 + 1199918686464 = 821556^2 + 1095408^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 246462997 + ... + 246470603.

Almost surely, 2^{1874872947600} is an apocalyptic number.

1874872947600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1874872947600 is the 1369260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1874872947600

1874872947600 is an abundant number, since it is smaller than the sum of its proper divisors (4854780274417).

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

1874872947600 is an frugal number, since it uses more digits than its factorization.

1874872947600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15244 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 1874872947600 in words is "one trillion, eight hundred seventy-four billion, eight hundred seventy-two million, nine hundred forty-seven thousand, six hundred".