7463651328 has 144 divisors (see below), whose sum is σ = 24636306240. Its totient is φ = 2132434944.

The previous prime is 7463651311. The next prime is 7463651333. The reversal of 7463651328 is 8231563647.

7463651328 is a `hidden beast` number, since 7 + 4 + 636 + 5 + 1 + 3 + 2 + 8 = 666.

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

It is a super-2 number, since 2×7463651328² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100101 + ... + 157947.

It is an arithmetic number, because the mean of its divisors is an integer number (171085460).

Almost surely, 2^7463651328 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 7463651328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12318153120).

7463651328 is an abundant number, since it is smaller than the sum of its proper divisors (17172654912).

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

7463651328 is a wasteful number, since it uses less digits than its factorization.

7463651328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57882 (or 57859 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 7463651328 is about 86392.4263347199. The cubic root of 7463651328 is about 1954.2664706660.

The spelling of 7463651328 in words is "seven billion, four hundred sixty-three million, six hundred fifty-one thousand, three hundred twenty-eight".