6480129600 has 504 divisors, whose sum is σ = 27308543808. Its totient is φ = 1480550400.

The previous prime is 6480129583. The next prime is 6480129619. The reversal of 6480129600 is 69210846.

6480129600 is a `hidden beast` number, since 6 + 48 + 0 + 1 + 2 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2720410 + ... + 2722790.

Almost surely, 2^6480129600 is an apocalyptic number.

6480129600 is a gapful number since it is divisible by the number (60) 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 6480129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13654271904).

6480129600 is an abundant number, since it is smaller than the sum of its proper divisors (20828414208).

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

6480129600 is a wasteful number, since it uses less digits than its factorization.

6480129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6480129600 is about 80499.2521704394. The cubic root of 6480129600 is about 1864.3519324195.

The spelling of 6480129600 in words is "six billion, four hundred eighty million, one hundred twenty-nine thousand, six hundred".