10945556640 has 72 divisors (see below), whose sum is σ = 37351716948. Its totient is φ = 2918814720.

The previous prime is 10945556627. The next prime is 10945556683. The reversal of 10945556640 is 4665554901.

10945556640 is a `hidden beast` number, since 1 + 0 + 9 + 45 + 5 + 566 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9347795856 + 1597760784 = 96684^2 + 39972^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 3799101 + ... + 3801980.

Almost surely, 2^10945556640 is an apocalyptic number.

10945556640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10945556640 is an abundant number, since it is smaller than the sum of its proper divisors (26406160308).

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

10945556640 is a wasteful number, since it uses less digits than its factorization.

10945556640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7601102 (or 7601091 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 10945556640 in words is "ten billion, nine hundred forty-five million, five hundred fifty-six thousand, six hundred forty".