6400606452480 has 288 divisors, whose sum is σ = 22827424704000. Its totient is φ = 1698249535488.

The previous prime is 6400606452469. The next prime is 6400606452503. The reversal of 6400606452480 is 842546060046.

6400606452480 is a `hidden beast` number, since 6 + 4 + 0 + 0 + 60 + 64 + 52 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6400606452480² (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 31 ways as a sum of consecutive naturals, for example, 6412107 + ... + 7342773.

Almost surely, 2^{6400606452480} is an apocalyptic number.

6400606452480 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 6400606452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11413712352000).

6400606452480 is an abundant number, since it is smaller than the sum of its proper divisors (16426818251520).

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

6400606452480 is a wasteful number, since it uses less digits than its factorization.

6400606452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930896 (or 930876 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 6400606452480 in words is "six trillion, four hundred billion, six hundred six million, four hundred fifty-two thousand, four hundred eighty".