10033483824 has 720 divisors, whose sum is σ = 38454726240. Its totient is φ = 2482099200.

The previous prime is 10033483799. The next prime is 10033483849. The reversal of 10033483824 is 42838433001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10033483799) and next prime (10033483849).

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 143 ways as a sum of consecutive naturals, for example, 99341374 + ... + 99341474.

It is an arithmetic number, because the mean of its divisors is an integer number (53409342).

Almost surely, 2^10033483824 is an apocalyptic number.

10033483824 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 10033483824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19227363120).

10033483824 is an abundant number, since it is smaller than the sum of its proper divisors (28421242416).

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

10033483824 is a wasteful number, since it uses less digits than its factorization.

10033483824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10033483824 in words is "ten billion, thirty-three million, four hundred eighty-three thousand, eight hundred twenty-four".