1010688643584 has 240 divisors, whose sum is σ = 3251056517280. Its totient is φ = 300389990400.

The previous prime is 1010688643583. The next prime is 1010688643621. The reversal of 1010688643584 is 4853468860101.

1010688643584 is a `hidden beast` number, since 1 + 0 + 10 + 6 + 8 + 8 + 6 + 43 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1010688643584.

It is not an unprimeable number, because it can be changed into a prime (1010688643583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1148859 + ... + 1827909.

It is an arithmetic number, because the mean of its divisors is an integer number (13546068822).

Almost surely, 2^{1010688643584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010688643584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625528258640).

1010688643584 is an abundant number, since it is smaller than the sum of its proper divisors (2240367873696).

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

1010688643584 is a wasteful number, since it uses less digits than its factorization.

1010688643584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679111 (or 679092 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 1010688643584 in words is "one trillion, ten billion, six hundred eighty-eight million, six hundred forty-three thousand, five hundred eighty-four".