7567380480 has 208 divisors, whose sum is σ = 26416171584. Its totient is φ = 1834352640.

The previous prime is 7567380467. The next prime is 7567380487. The reversal of 7567380480 is 840837657.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7567380487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670242 + ... + 681438.

Almost surely, 2^7567380480 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 7567380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208085792).

7567380480 is an abundant number, since it is smaller than the sum of its proper divisors (18848791104).

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

7567380480 is a wasteful number, since it uses less digits than its factorization.

7567380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11240 (or 11218 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 7567380480 is about 86990.6919158596. The cubic root of 7567380480 is about 1963.2782566815.

The spelling of 7567380480 in words is "seven billion, five hundred sixty-seven million, three hundred eighty thousand, four hundred eighty".