7467738080 has 96 divisors (see below), whose sum is σ = 19282808160. Its totient is φ = 2710405120.

The previous prime is 7467738077. The next prime is 7467738097. The reversal of 7467738080 is 808377647.

It is a super-2 number, since 2×7467738080² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997712 + ... + 1005168.

It is an arithmetic number, because the mean of its divisors is an integer number (200862585).

Almost surely, 2^7467738080 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 7467738080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9641404080).

7467738080 is an abundant number, since it is smaller than the sum of its proper divisors (11815070080).

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

7467738080 is a wasteful number, since it uses less digits than its factorization.

7467738080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8052 (or 8044 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 50.

The square root of 7467738080 is about 86416.0753563826. The cubic root of 7467738080 is about 1954.6230943792.

It can be divided in two parts, 7467 and 738080, that added together give a palindrome (745547).

The spelling of 7467738080 in words is "seven billion, four hundred sixty-seven million, seven hundred thirty-eight thousand, eighty".