7854458560 has 112 divisors (see below), whose sum is σ = 20633874912. Its totient is φ = 2829312000.

The previous prime is 7854458551. The next prime is 7854458581. The reversal of 7854458560 is 658544587.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 7854458498 and 7854458507.

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 15 ways as a sum of consecutive naturals, for example, 147535 + ... + 193585.

It is an arithmetic number, because the mean of its divisors is an integer number (184231026).

Almost surely, 2^7854458560 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 7854458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10316937456).

7854458560 is an abundant number, since it is smaller than the sum of its proper divisors (12779416352).

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

7854458560 is a wasteful number, since it uses less digits than its factorization.

7854458560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46122 (or 46112 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 52.

The square root of 7854458560 is about 88625.3832713856. The cubic root of 7854458560 is about 1987.7972444686.

The spelling of 7854458560 in words is "seven billion, eight hundred fifty-four million, four hundred fifty-eight thousand, five hundred sixty".