7428478832640 has 1248 divisors, whose sum is σ = 27477725184000. Its totient is φ = 1853380362240.

The previous prime is 7428478832629. The next prime is 7428478832653. The reversal of 7428478832640 is 462388748247.

It is a happy number.

7428478832640 is a `hidden beast` number, since 7 + 4 + 28 + 478 + 83 + 2 + 64 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37329039261 + ... + 37329039459.

It is an arithmetic number, because the mean of its divisors is an integer number (22017408000).

Almost surely, 2^{7428478832640} 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 7428478832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13738862592000).

7428478832640 is an abundant number, since it is smaller than the sum of its proper divisors (20049246351360).

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

7428478832640 is a wasteful number, since it uses less digits than its factorization.

7428478832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 63.

The spelling of 7428478832640 in words is "seven trillion, four hundred twenty-eight billion, four hundred seventy-eight million, eight hundred thirty-two thousand, six hundred forty".