1027670336000 has 960 divisors, whose sum is σ = 3360325782528. Its totient is φ = 309980160000.

The previous prime is 1027670335987. The next prime is 1027670336047. The reversal of 1027670336000 is 6330767201.

It is a happy number.

It is a super-2 number, since 2×1027670336000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 33150655985 + ... + 33150656015.

Almost surely, 2^{1027670336000} is an apocalyptic number.

1027670336000 is a gapful number since it is divisible by the number (10) 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 1027670336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680162891264).

1027670336000 is an abundant number, since it is smaller than the sum of its proper divisors (2332655446528).

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

1027670336000 is an frugal number, since it uses more digits than its factorization.

1027670336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 35.

The spelling of 1027670336000 in words is "one trillion, twenty-seven billion, six hundred seventy million, three hundred thirty-six thousand".