1017074672640 has 1584 divisors, whose sum is σ = 4203276425712. Its totient is φ = 233910042624.

The previous prime is 1017074672587. The next prime is 1017074672659. The reversal of 1017074672640 is 462764707101.

1017074672640 is a `hidden beast` number, since 10 + 170 + 7 + 467 + 2 + 6 + 4 + 0 = 666.

1017074672640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5650228224 + 1011424444416 = 75168^2 + 1005696^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7423902652 + ... + 7423902788.

Almost surely, 2^{1017074672640} is an apocalyptic number.

1017074672640 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 1017074672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101638212856).

1017074672640 is an abundant number, since it is smaller than the sum of its proper divisors (3186201753072).

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

1017074672640 is an equidigital number, since it uses as much as digits as its factorization.

1017074672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 177 counting only the distinct ones).

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

The spelling of 1017074672640 in words is "one trillion, seventeen billion, seventy-four million, six hundred seventy-two thousand, six hundred forty".