10632684348 has 360 divisors, whose sum is σ = 33331415040. Its totient is φ = 2929530240.

The previous prime is 10632684331. The next prime is 10632684401. The reversal of 10632684348 is 84348623601.

10632684348 is a `hidden beast` number, since 1 + 0 + 632 + 6 + 8 + 4 + 3 + 4 + 8 = 666.

It is a super-2 number, since 2×10632684348² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 76494063 + ... + 76494201.

It is an arithmetic number, because the mean of its divisors is an integer number (92587264).

Almost surely, 2^10632684348 is an apocalyptic number.

10632684348 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 10632684348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665707520).

10632684348 is an abundant number, since it is smaller than the sum of its proper divisors (22698730692).

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

10632684348 is a wasteful number, since it uses less digits than its factorization.

10632684348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 10632684348 in words is "ten billion, six hundred thirty-two million, six hundred eighty-four thousand, three hundred forty-eight".