1027904967360 has 1344 divisors, whose sum is σ = 4159569024000. Its totient is φ = 231078887424.

The previous prime is 1027904967319. The next prime is 1027904967371. The reversal of 1027904967360 is 637694097201.

It is a happy number.

1027904967360 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 90 + 496 + 7 + 3 + 60 = 666.

1027904967360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1027904967297 and 1027904967306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2289320416 + ... + 2289320864.

Almost surely, 2^{1027904967360} is an apocalyptic number.

1027904967360 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 1027904967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079784512000).

1027904967360 is an abundant number, since it is smaller than the sum of its proper divisors (3131664056640).

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

1027904967360 is a wasteful number, since it uses less digits than its factorization.

1027904967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 1027904967360 in words is "one trillion, twenty-seven billion, nine hundred four million, nine hundred sixty-seven thousand, three hundred sixty".