7449763680 has 144 divisors (see below), whose sum is σ = 25445163744. Its totient is φ = 1984819200.

The previous prime is 7449763663. The next prime is 7449763697. The reversal of 7449763680 is 863679447.

It is a happy number.

7449763680 is a `hidden beast` number, since 74 + 497 + 6 + 3 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (7449763663) and next prime (7449763697).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2658280 + ... + 2661080.

It is an arithmetic number, because the mean of its divisors is an integer number (176702526).

Almost surely, 2^7449763680 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 7449763680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12722581872).

7449763680 is an abundant number, since it is smaller than the sum of its proper divisors (17995400064).

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

7449763680 is a wasteful number, since it uses less digits than its factorization.

7449763680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4669 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 7449763680 is about 86312.0135323004. The cubic root of 7449763680 is about 1953.0536141009.

The spelling of 7449763680 in words is "seven billion, four hundred forty-nine million, seven hundred sixty-three thousand, six hundred eighty".