1027740673800 has 96 divisors (see below), whose sum is σ = 3539995672800. Its totient is φ = 274064178240.

The previous prime is 1027740673769. The next prime is 1027740673807. The reversal of 1027740673800 is 83760477201.

1027740673800 is a `hidden beast` number, since 102 + 77 + 40 + 67 + 380 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1027740673807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95155774 + ... + 95166573.

It is an arithmetic number, because the mean of its divisors is an integer number (36874954925).

Almost surely, 2^{1027740673800} is an apocalyptic number.

1027740673800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1027740673800 is an abundant number, since it is smaller than the sum of its proper divisors (2512254999000).

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

1027740673800 is a wasteful number, since it uses less digits than its factorization.

1027740673800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190322372 (or 190322357 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 1027740673800 in words is "one trillion, twenty-seven billion, seven hundred forty million, six hundred seventy-three thousand, eight hundred".