7480657440 has 144 divisors (see below), whose sum is σ = 26009664408. Its totient is φ = 1957183488.

The previous prime is 7480657439. The next prime is 7480657453. The reversal of 7480657440 is 447560847.

7480657440 is a `hidden beast` number, since 7 + 480 + 65 + 74 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7442167824 + 38489616 = 86268^2 + 6204^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 27312 + ... + 125328.

Almost surely, 2^7480657440 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 7480657440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13004832204).

7480657440 is an abundant number, since it is smaller than the sum of its proper divisors (18529006968).

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

7480657440 is a wasteful number, since it uses less digits than its factorization.

7480657440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98091 (or 98080 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 7480657440 is about 86490.7939609760. The cubic root of 7480657440 is about 1955.7496260756.

The spelling of 7480657440 in words is "seven billion, four hundred eighty million, six hundred fifty-seven thousand, four hundred forty".