7420842000 has 960 divisors, whose sum is σ = 32270434560. Its totient is φ = 1607040000.

The previous prime is 7420841947. The next prime is 7420842001. The reversal of 7420842000 is 2480247.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7420842001) 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 191 ways as a sum of consecutive naturals, for example, 239381985 + ... + 239382015.

It is an arithmetic number, because the mean of its divisors is an integer number (33615036).

Almost surely, 2^7420842000 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 7420842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16135217280).

7420842000 is an abundant number, since it is smaller than the sum of its proper divisors (24849592560).

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

7420842000 is a wasteful number, since it uses less digits than its factorization.

7420842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 7420842000 is about 86144.3091562060. The cubic root of 7420842000 is about 1950.5229366732.

The spelling of 7420842000 in words is "seven billion, four hundred twenty million, eight hundred forty-two thousand".