10746159840 has 672 divisors, whose sum is σ = 43265486880. Its totient is φ = 2499268608.

The previous prime is 10746159817. The next prime is 10746159857. The reversal of 10746159840 is 4895164701.

10746159840 is a `hidden beast` number, since 10 + 7 + 4 + 6 + 1 + 598 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 28809894 + ... + 28810266.

It is an arithmetic number, because the mean of its divisors is an integer number (64383165).

Almost surely, 2^10746159840 is an apocalyptic number.

10746159840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10746159840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21632743440).

10746159840 is an abundant number, since it is smaller than the sum of its proper divisors (32519327040).

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

10746159840 is a wasteful number, since it uses less digits than its factorization.

10746159840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10746159840 in words is "ten billion, seven hundred forty-six million, one hundred fifty-nine thousand, eight hundred forty".