1007413474068 has 36 divisors (see below), whose sum is σ = 2578751797440. Its totient is φ = 331553800656.

The previous prime is 1007413474033. The next prime is 1007413474087. The reversal of 1007413474068 is 8604743147001.

1007413474068 is a `hidden beast` number, since 100 + 7 + 4 + 13 + 474 + 0 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 177109230 + ... + 177114917.

Almost surely, 2^{1007413474068} is an apocalyptic number.

1007413474068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1007413474068 is an abundant number, since it is smaller than the sum of its proper divisors (1571338323372).

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

1007413474068 is a wasteful number, since it uses less digits than its factorization.

1007413474068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354224236 (or 354224231 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1007413474068 in words is "one trillion, seven billion, four hundred thirteen million, four hundred seventy-four thousand, sixty-eight".