6460656422400 has 600 divisors, whose sum is σ = 23933071701000. Its totient is φ = 1721278218240.

The previous prime is 6460656422369. The next prime is 6460656422401. The reversal of 6460656422400 is 42246560646.

6460656422400 is a `hidden beast` number, since 6 + 4 + 60 + 6 + 564 + 2 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6460656422401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1554161122 + ... + 1554165278.

It is an arithmetic number, because the mean of its divisors is an integer number (39888452835).

Almost surely, 2^{6460656422400} is an apocalyptic number.

6460656422400 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 6460656422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11966535850500).

6460656422400 is an abundant number, since it is smaller than the sum of its proper divisors (17472415278600).

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

6460656422400 is a wasteful number, since it uses less digits than its factorization.

6460656422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696 (or 5666 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 6460656422400 in words is "six trillion, four hundred sixty billion, six hundred fifty-six million, four hundred twenty-two thousand, four hundred".