10741533264 has 480 divisors, whose sum is σ = 40093148160. Its totient is φ = 2600294400.

The previous prime is 10741533241. The next prime is 10741533287. The reversal of 10741533264 is 46233514701.

It is an interprime number because it is at equal distance from previous prime (10741533241) and next prime (10741533287).

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14114644 + ... + 14115404.

It is an arithmetic number, because the mean of its divisors is an integer number (83527392).

Almost surely, 2^10741533264 is an apocalyptic number.

10741533264 is a gapful number since it is divisible by the number (14) 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 10741533264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20046574080).

10741533264 is an abundant number, since it is smaller than the sum of its proper divisors (29351614896).

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

10741533264 is a wasteful number, since it uses less digits than its factorization.

10741533264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10741533264 in words is "ten billion, seven hundred forty-one million, five hundred thirty-three thousand, two hundred sixty-four".