10033748640 has 240 divisors, whose sum is σ = 35532937440. Its totient is φ = 2666442240.

The previous prime is 10033748633. The next prime is 10033748677. The reversal of 10033748640 is 4684733001.

10033748640 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 3 + 7 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10033748640² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10033748595 and 10033748604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4288591 + ... + 4290929.

It is an arithmetic number, because the mean of its divisors is an integer number (148053906).

Almost surely, 2^10033748640 is an apocalyptic number.

10033748640 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 10033748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17766468720).

10033748640 is an abundant number, since it is smaller than the sum of its proper divisors (25499188800).

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

10033748640 is a wasteful number, since it uses less digits than its factorization.

10033748640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10033748640 in words is "ten billion, thirty-three million, seven hundred forty-eight thousand, six hundred forty".