6434608000 has 128 divisors (see below), whose sum is σ = 16515383040. Its totient is φ = 2490624000.

The previous prime is 6434607973. The next prime is 6434608003. The reversal of 6434608000 is 8064346.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6434608000² = 82808360227328000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6434608003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489514 + ... + 502486.

It is an arithmetic number, because the mean of its divisors is an integer number (129026430).

Almost surely, 2^6434608000 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 6434608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8257691520).

6434608000 is an abundant number, since it is smaller than the sum of its proper divisors (10080775040).

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

6434608000 is a wasteful number, since it uses less digits than its factorization.

6434608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13033 (or 13011 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 6434608000 is about 80216.0083773806. The cubic root of 6434608000 is about 1859.9761048304.

The spelling of 6434608000 in words is "six billion, four hundred thirty-four million, six hundred eight thousand".