10743072480 has 576 divisors, whose sum is σ = 45038343168. Its totient is φ = 2275983360.

The previous prime is 10743072469. The next prime is 10743072539. The reversal of 10743072480 is 8427034701.

It is a happy number.

10743072480 is a `hidden beast` number, since 10 + 74 + 30 + 72 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12166119 + ... + 12167001.

It is an arithmetic number, because the mean of its divisors is an integer number (78191568).

Almost surely, 2^10743072480 is an apocalyptic number.

10743072480 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 10743072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22519171584).

10743072480 is an abundant number, since it is smaller than the sum of its proper divisors (34295270688).

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

10743072480 is a wasteful number, since it uses less digits than its factorization.

10743072480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 10743072480 in words is "ten billion, seven hundred forty-three million, seventy-two thousand, four hundred eighty".