6413552006400 has 4320 divisors, whose sum is σ = 31372808011776. Its totient is φ = 1254113280000.

The previous prime is 6413552006387. The next prime is 6413552006401. The reversal of 6413552006400 is 46002553146.

6413552006400 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 5 + 5 + 2 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×6413552006400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6413552006401) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 87856876764 + ... + 87856876836.

Almost surely, 2^{6413552006400} is an apocalyptic number.

6413552006400 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 6413552006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15686404005888).

6413552006400 is an abundant number, since it is smaller than the sum of its proper divisors (24959256005376).

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

6413552006400 is a wasteful number, since it uses less digits than its factorization.

6413552006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 6413552006400 its reverse (46002553146), we get a palindrome (6459554559546).

The spelling of 6413552006400 in words is "six trillion, four hundred thirteen billion, five hundred fifty-two million, six thousand, four hundred".