1009674675880 has 64 divisors (see below), whose sum is σ = 2457203187600. Its totient is φ = 371174952960.

The previous prime is 1009674675829. The next prime is 1009674675917. The reversal of 1009674675880 is 885764769001.

1009674675880 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 673453292164 + 336221383716 = 820642^2 + 579846^2 .

It is a super-2 number, since 2×1009674675880² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4120401 + ... + 4358560.

Almost surely, 2^{1009674675880} is an apocalyptic number.

1009674675880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009674675880 is an abundant number, since it is smaller than the sum of its proper divisors (1447528511720).

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

1009674675880 is a wasteful number, since it uses less digits than its factorization.

1009674675880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8479214 (or 8479210 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 61.

The spelling of 1009674675880 in words is "one trillion, nine billion, six hundred seventy-four million, six hundred seventy-five thousand, eight hundred eighty".