7406648773920 has 960 divisors, whose sum is σ = 30077308800000. Its totient is φ = 1697599088640.

The previous prime is 7406648773919. The next prime is 7406648773987. The reversal of 7406648773920 is 293778466047.

It is a happy number.

7406648773920 is a `hidden beast` number, since 7 + 4 + 0 + 66 + 487 + 7 + 3 + 92 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1481623581 + ... + 1481628579.

It is an arithmetic number, because the mean of its divisors is an integer number (31330530000).

Almost surely, 2^{7406648773920} 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 7406648773920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15038654400000).

7406648773920 is an abundant number, since it is smaller than the sum of its proper divisors (22670660026080).

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

7406648773920 is a wasteful number, since it uses less digits than its factorization.

7406648773920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 7406648773920 in words is "seven trillion, four hundred six billion, six hundred forty-eight million, seven hundred seventy-three thousand, nine hundred twenty".