10033013640 has 128 divisors (see below), whose sum is σ = 32450544000. Its totient is φ = 2466908160.

The previous prime is 10033013629. The next prime is 10033013651. The reversal of 10033013640 is 4631033001.

It is an interprime number because it is at equal distance from previous prime (10033013629) and next prime (10033013651).

It is a super-2 number, since 2×10033013640² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1633375 + ... + 1639505.

It is an arithmetic number, because the mean of its divisors is an integer number (253519875).

Almost surely, 2^10033013640 is an apocalyptic number.

10033013640 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 10033013640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16225272000).

10033013640 is an abundant number, since it is smaller than the sum of its proper divisors (22417530360).

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

10033013640 is a wasteful number, since it uses less digits than its factorization.

10033013640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7207 (or 7203 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10033013640 its reverse (4631033001), we get a palindrome (14664046641).

The spelling of 10033013640 in words is "ten billion, thirty-three million, thirteen thousand, six hundred forty".