5675226448320 has 672 divisors, whose sum is σ = 23699348608320. Its totient is φ = 1269977702400.

The previous prime is 5675226448291. The next prime is 5675226448337. The reversal of 5675226448320 is 238446225765.

5675226448320 is a `hidden beast` number, since 5 + 6 + 7 + 52 + 264 + 4 + 8 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13381930 + ... + 13799510.

It is an arithmetic number, because the mean of its divisors is an integer number (35266887810).

Almost surely, 2^{5675226448320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5675226448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11849674304160).

5675226448320 is an abundant number, since it is smaller than the sum of its proper divisors (18024122160000).

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

5675226448320 is a wasteful number, since it uses less digits than its factorization.

5675226448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417642 (or 417615 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 5675226448320 in words is "five trillion, six hundred seventy-five billion, two hundred twenty-six million, four hundred forty-eight thousand, three hundred twenty".