6460074381600 has 864 divisors, whose sum is σ = 27268322215680. Its totient is φ = 1407070494720.

The previous prime is 6460074381571. The next prime is 6460074381641. The reversal of 6460074381600 is 61834700646.

It is a happy number.

6460074381600 is a `hidden beast` number, since 6 + 4 + 6 + 0 + 0 + 7 + 4 + 38 + 1 + 600 = 666.

It is a super-2 number, since 2×6460074381600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 311814442 + ... + 311835158.

It is an arithmetic number, because the mean of its divisors is an integer number (31560558120).

Almost surely, 2^{6460074381600} is an apocalyptic number.

6460074381600 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 6460074381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13634161107840).

6460074381600 is an abundant number, since it is smaller than the sum of its proper divisors (20808247834080).

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

6460074381600 is a wasteful number, since it uses less digits than its factorization.

6460074381600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21042 (or 21026 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 6460074381600 in words is "six trillion, four hundred sixty billion, seventy-four million, three hundred eighty-one thousand, six hundred".