7580342016 has 288 divisors, whose sum is σ = 24981768000. Its totient is φ = 2251210752.

The previous prime is 7580341969. The next prime is 7580342017. The reversal of 7580342016 is 6102430857.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7580342017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2604370 + ... + 2607278.

It is an arithmetic number, because the mean of its divisors is an integer number (86742250).

Almost surely, 2^7580342016 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 7580342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12490884000).

7580342016 is an abundant number, since it is smaller than the sum of its proper divisors (17401425984).

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

7580342016 is a wasteful number, since it uses less digits than its factorization.

7580342016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7580342016 is about 87065.1595990038. The cubic root of 7580342016 is about 1964.3985292751.

The spelling of 7580342016 in words is "seven billion, five hundred eighty million, three hundred forty-two thousand, sixteen".