7647045120 has 720 divisors, whose sum is σ = 31498202736. Its totient is φ = 1703116800.

The previous prime is 7647045101. The next prime is 7647045127. The reversal of 7647045120 is 215407467.

7647045120 is a `hidden beast` number, since 7 + 647 + 0 + 4 + 5 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×7647045120³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7647045127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36241815 + ... + 36242025.

Almost surely, 2^7647045120 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 7647045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15749101368).

7647045120 is an abundant number, since it is smaller than the sum of its proper divisors (23851157616).

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

7647045120 is a wasteful number, since it uses less digits than its factorization.

7647045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7647045120 is about 87447.3848665585. The cubic root of 7647045120 is about 1970.1436091381.

The spelling of 7647045120 in words is "seven billion, six hundred forty-seven million, forty-five thousand, one hundred twenty".