8342129664 has 528 divisors, whose sum is σ = 28509960960. Its totient is φ = 2322432000.

The previous prime is 8342129659. The next prime is 8342129713. The reversal of 8342129664 is 4669212438.

8342129664 is a `hidden beast` number, since 83 + 421 + 2 + 96 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×8342129664² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 117494749 + ... + 117494819.

Almost surely, 2^8342129664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8342129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14254980480).

8342129664 is an abundant number, since it is smaller than the sum of its proper divisors (20167831296).

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

8342129664 is a wasteful number, since it uses less digits than its factorization.

8342129664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 8342129664 is about 91335.2596974465. The cubic root of 8342129664 is about 2028.1137618104.

The spelling of 8342129664 in words is "eight billion, three hundred forty-two million, one hundred twenty-nine thousand, six hundred sixty-four".