10004733648 has 480 divisors, whose sum is σ = 36943635456. Its totient is φ = 2452488192.

The previous prime is 10004733619. The next prime is 10004733667. The reversal of 10004733648 is 84633740001.

10004733648 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 7 + 3 + 3 + 648 = 666.

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 95 ways as a sum of consecutive naturals, for example, 21608265 + ... + 21608727.

Almost surely, 2^10004733648 is an apocalyptic number.

10004733648 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 10004733648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18471817728).

10004733648 is an abundant number, since it is smaller than the sum of its proper divisors (26938901808).

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

10004733648 is a wasteful number, since it uses less digits than its factorization.

10004733648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 602 counting only the distinct ones).

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

The spelling of 10004733648 in words is "ten billion, four million, seven hundred thirty-three thousand, six hundred forty-eight".