10327684752 has 240 divisors, whose sum is σ = 36389004288. Its totient is φ = 2656177920.

The previous prime is 10327684723. The next prime is 10327684789. The reversal of 10327684752 is 25748672301.

10327684752 is a `hidden beast` number, since 103 + 2 + 76 + 8 + 475 + 2 = 666.

It is a super-2 number, since 2×10327684752² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10327684698 and 10327684707.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1137543 + ... + 1146585.

Almost surely, 2^10327684752 is an apocalyptic number.

10327684752 is a gapful number since it is divisible by the number (12) 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 10327684752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18194502144).

10327684752 is an abundant number, since it is smaller than the sum of its proper divisors (26061319536).

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

10327684752 is a wasteful number, since it uses less digits than its factorization.

10327684752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9178 (or 9169 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

It can be divided in two parts, 1032768 and 4752, that added together give a triangular number (1037520 = T₁₄₄₀).

The spelling of 10327684752 in words is "ten billion, three hundred twenty-seven million, six hundred eighty-four thousand, seven hundred fifty-two".