6460992000 has 320 divisors, whose sum is σ = 23874364800. Its totient is φ = 1722470400.

The previous prime is 6460991993. The next prime is 6460992017. The reversal of 6460992000 is 2990646.

6460992000 is a `hidden beast` number, since 646 + 0 + 9 + 9 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1726131 + ... + 1729869.

It is an arithmetic number, because the mean of its divisors is an integer number (74607390).

Almost surely, 2^6460992000 is an apocalyptic number.

6460992000 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 6460992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11937182400).

6460992000 is an abundant number, since it is smaller than the sum of its proper divisors (17413372800).

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

6460992000 is an equidigital number, since it uses as much as digits as its factorization.

6460992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6460992000 is about 80380.2960930103. The cubic root of 6460992000 is about 1862.5148085245.

The spelling of 6460992000 in words is "six billion, four hundred sixty million, nine hundred ninety-two thousand".