6479224473600 has 864 divisors, whose sum is σ = 25331214636000. Its totient is φ = 1636796989440.

The previous prime is 6479224473599. The next prime is 6479224473649. The reversal of 6479224473600 is 63744229746.

6479224473600 is a `hidden beast` number, since 6 + 4 + 7 + 9 + 2 + 24 + 4 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 236376696 + ... + 236404104.

Almost surely, 2^{6479224473600} is an apocalyptic number.

6479224473600 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 6479224473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12665607318000).

6479224473600 is an abundant number, since it is smaller than the sum of its proper divisors (18851990162400).

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

6479224473600 is a wasteful number, since it uses less digits than its factorization.

6479224473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27475 (or 27438 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 6479224473600 in words is "six trillion, four hundred seventy-nine billion, two hundred twenty-four million, four hundred seventy-three thousand, six hundred".