6460339300800 has 504 divisors, whose sum is σ = 26897195969280. Its totient is φ = 1342407628800.

The previous prime is 6460339300757. The next prime is 6460339300817. The reversal of 6460339300800 is 80039330646.

It is a super-2 number, since 2×6460339300800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1338681 + ... + 3835719.

It is an arithmetic number, because the mean of its divisors is an integer number (53367452320).

Almost surely, 2^{6460339300800} is an apocalyptic number.

6460339300800 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 6460339300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13448597984640).

6460339300800 is an abundant number, since it is smaller than the sum of its proper divisors (20436856668480).

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

6460339300800 is a wasteful number, since it uses less digits than its factorization.

6460339300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497089 (or 2497067 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 6460339300800 in words is "six trillion, four hundred sixty billion, three hundred thirty-nine million, three hundred thousand, eight hundred".