7842562560 has 480 divisors, whose sum is σ = 32208688512. Its totient is φ = 1791590400.

The previous prime is 7842562549. The next prime is 7842562561. The reversal of 7842562560 is 652652487.

7842562560 is a `hidden beast` number, since 7 + 8 + 4 + 25 + 62 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7842562561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4353660 + ... + 4355460.

Almost surely, 2^7842562560 is an apocalyptic number.

7842562560 is a gapful number since it is divisible by the number (70) 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 7842562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16104344256).

7842562560 is an abundant number, since it is smaller than the sum of its proper divisors (24366125952).

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

7842562560 is an equidigital number, since it uses as much as digits as its factorization.

7842562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 7842562560 is about 88558.2438850274. The cubic root of 7842562560 is about 1986.7931954507.

The spelling of 7842562560 in words is "seven billion, eight hundred forty-two million, five hundred sixty-two thousand, five hundred sixty".