7467680496 has 80 divisors (see below), whose sum is σ = 20333475360. Its totient is φ = 2358021120.

The previous prime is 7467680483. The next prime is 7467680617. The reversal of 7467680496 is 6940867647.

It is a happy number.

It is a super-3 number, since 3×7467680496³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23166 + ... + 124386.

It is an arithmetic number, because the mean of its divisors is an integer number (254168442).

Almost surely, 2^7467680496 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 7467680496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10166737680).

7467680496 is an abundant number, since it is smaller than the sum of its proper divisors (12865794864).

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

7467680496 is a wasteful number, since it uses less digits than its factorization.

7467680496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101314 (or 101308 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The square root of 7467680496 is about 86415.7421769900. The cubic root of 7467680496 is about 1954.6180703097.

The spelling of 7467680496 in words is "seven billion, four hundred sixty-seven million, six hundred eighty thousand, four hundred ninety-six".