5626480648320 has 768 divisors, whose sum is σ = 23979959280000. Its totient is φ = 1241700655104.

The previous prime is 5626480648319. The next prime is 5626480648331. The reversal of 5626480648320 is 238460846265.

It is a happy number.

5626480648320 is a `hidden beast` number, since 5 + 6 + 2 + 6 + 480 + 64 + 83 + 20 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24440311 + ... + 24669449.

Almost surely, 2^{5626480648320} 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 5626480648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11989979640000).

5626480648320 is an abundant number, since it is smaller than the sum of its proper divisors (18353478631680).

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

5626480648320 is a wasteful number, since it uses less digits than its factorization.

5626480648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229210 (or 229185 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 5626480648320 in words is "five trillion, six hundred twenty-six billion, four hundred eighty million, six hundred forty-eight thousand, three hundred twenty".