10743327540 has 192 divisors, whose sum is σ = 36555160320. Its totient is φ = 2597806080.

The previous prime is 10743327527. The next prime is 10743327541. The reversal of 10743327540 is 4572334701.

10743327540 is a `hidden beast` number, since 10 + 74 + 3 + 32 + 7 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10743327495 and 10743327504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10743327541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2569932 + ... + 2574108.

It is an arithmetic number, because the mean of its divisors is an integer number (190391460).

Almost surely, 2^10743327540 is an apocalyptic number.

10743327540 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 10743327540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18277580160).

10743327540 is an abundant number, since it is smaller than the sum of its proper divisors (25811832780).

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

10743327540 is a wasteful number, since it uses less digits than its factorization.

10743327540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 10743327540 in words is "ten billion, seven hundred forty-three million, three hundred twenty-seven thousand, five hundred forty".