7405268427648 has 1280 divisors, whose sum is σ = 28383539184000. Its totient is φ = 1863891025920.

The previous prime is 7405268427643. The next prime is 7405268427673. The reversal of 7405268427648 is 8467248625047.

It is a happy number.

7405268427648 is a `hidden beast` number, since 7 + 4 + 0 + 526 + 8 + 42 + 7 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7405268427643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2435141008 + ... + 2435144048.

Almost surely, 2^{7405268427648} is an apocalyptic number.

7405268427648 is a gapful number since it is divisible by the number (78) 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 7405268427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14191769592000).

7405268427648 is an abundant number, since it is smaller than the sum of its proper divisors (20978270756352).

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

7405268427648 is a wasteful number, since it uses less digits than its factorization.

7405268427648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 7405268427648 in words is "seven trillion, four hundred five billion, two hundred sixty-eight million, four hundred twenty-seven thousand, six hundred forty-eight".