7149660480 has 448 divisors, whose sum is σ = 26883360000. Its totient is φ = 1783627776.

The previous prime is 7149660457. The next prime is 7149660487. The reversal of 7149660480 is 840669417.

7149660480 is a `hidden beast` number, since 71 + 49 + 6 + 60 + 480 = 666.

It is a super-2 number, since 2×7149660480² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7149660487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15923296 + ... + 15923744.

It is an arithmetic number, because the mean of its divisors is an integer number (60007500).

Almost surely, 2^7149660480 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 7149660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441680000).

7149660480 is an abundant number, since it is smaller than the sum of its proper divisors (19733699520).

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

7149660480 is a wasteful number, since it uses less digits than its factorization.

7149660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7149660480 is about 84555.6649787582. The cubic root of 7149660480 is about 1926.4680300052.

The spelling of 7149660480 in words is "seven billion, one hundred forty-nine million, six hundred sixty thousand, four hundred eighty".