1007741481664 has 56 divisors (see below), whose sum is σ = 2046585116880. Its totient is φ = 492175297536.

The previous prime is 1007741481601. The next prime is 1007741481727. The reversal of 1007741481664 is 4661841477001.

It is an interprime number because it is at equal distance from previous prime (1007741481601) and next prime (1007741481727).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257107 + ... + 1442770.

Almost surely, 2^{1007741481664} is an apocalyptic number.

It is an amenable number.

1007741481664 is an abundant number, since it is smaller than the sum of its proper divisors (1038843635216).

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

1007741481664 is a wasteful number, since it uses less digits than its factorization.

1007741481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700105 (or 1700095 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The spelling of 1007741481664 in words is "one trillion, seven billion, seven hundred forty-one million, four hundred eighty-one thousand, six hundred sixty-four".