6462720000 has 960 divisors, whose sum is σ = 27632404800. Its totient is φ = 1474560000.

The previous prime is 6462719987. The next prime is 6462720029. The reversal of 6462720000 is 272646.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 380159992 + ... + 380160008.

It is an arithmetic number, because the mean of its divisors is an integer number (28783755).

Almost surely, 2^6462720000 is an apocalyptic number.

6462720000 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 6462720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13816202400).

6462720000 is an abundant number, since it is smaller than the sum of its proper divisors (21169684800).

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

6462720000 is a wasteful number, since it uses less digits than its factorization.

6462720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6462720000 is about 80391.0442773323. The cubic root of 6462720000 is about 1862.6808376579.

Adding to 6462720000 its reverse (272646), we get a palindrome (6462992646).

The spelling of 6462720000 in words is "six billion, four hundred sixty-two million, seven hundred twenty thousand".