10741667328 has 480 divisors, whose sum is σ = 39526755840. Its totient is φ = 2733834240.

The previous prime is 10741667317. The next prime is 10741667329. The reversal of 10741667328 is 82376614701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10741667329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10418173 + ... + 10419203.

It is an arithmetic number, because the mean of its divisors is an integer number (82347408).

Almost surely, 2^10741667328 is an apocalyptic number.

10741667328 is a gapful number since it is divisible by the number (18) 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 10741667328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19763377920).

10741667328 is an abundant number, since it is smaller than the sum of its proper divisors (28785088512).

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

10741667328 is a wasteful number, since it uses less digits than its factorization.

10741667328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 10741667328 in words is "ten billion, seven hundred forty-one million, six hundred sixty-seven thousand, three hundred twenty-eight".