10642134384 has 360 divisors, whose sum is σ = 36768301440. Its totient is φ = 2857026816.

The previous prime is 10642134383. The next prime is 10642134389. The reversal of 10642134384 is 48343124601.

10642134384 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 213 + 438 + 4 = 666.

It is a super-2 number, since 2×10642134384² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642134383) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21852189 + ... + 21852675.

Almost surely, 2^10642134384 is an apocalyptic number.

10642134384 is a gapful number since it is divisible by the number (14) 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 10642134384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18384150720).

10642134384 is an abundant number, since it is smaller than the sum of its proper divisors (26126167056).

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

10642134384 is a wasteful number, since it uses less digits than its factorization.

10642134384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 10642134384 its reverse (48343124601), we get a palindrome (58985258985).

The spelling of 10642134384 in words is "ten billion, six hundred forty-two million, one hundred thirty-four thousand, three hundred eighty-four".