1008640680344 has 64 divisors (see below), whose sum is σ = 2122903728000. Its totient is φ = 445308837120.

The previous prime is 1008640680337. The next prime is 1008640680347. The reversal of 1008640680344 is 4430860468001.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1008640680295 and 1008640680304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008640680347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67229 + ... + 1421900.

It is an arithmetic number, because the mean of its divisors is an integer number (33170370750).

Almost surely, 2^{1008640680344} is an apocalyptic number.

It is an amenable number.

1008640680344 is an abundant number, since it is smaller than the sum of its proper divisors (1114263047656).

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

1008640680344 is a wasteful number, since it uses less digits than its factorization.

1008640680344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489368 (or 1489364 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 1008640680344 in words is "one trillion, eight billion, six hundred forty million, six hundred eighty thousand, three hundred forty-four".