7442336160 has 768 divisors, whose sum is σ = 32606945280. Its totient is φ = 1546076160.

The previous prime is 7442336093. The next prime is 7442336221. The reversal of 7442336160 is 616332447.

It is a happy number.

7442336160 is a `hidden beast` number, since 7 + 4 + 4 + 2 + 33 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15936247 + ... + 15936713.

It is an arithmetic number, because the mean of its divisors is an integer number (42456960).

Almost surely, 2^7442336160 is an apocalyptic number.

7442336160 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 7442336160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303472640).

7442336160 is an abundant number, since it is smaller than the sum of its proper divisors (25164609120).

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

7442336160 is a wasteful number, since it uses less digits than its factorization.

7442336160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 7442336160 is about 86268.9756517371. The cubic root of 7442336160 is about 1952.4043242224.

The spelling of 7442336160 in words is "seven billion, four hundred forty-two million, three hundred thirty-six thousand, one hundred sixty".