7452645120 has 432 divisors, whose sum is σ = 27549849600. Its totient is φ = 1854627840.

The previous prime is 7452645097. The next prime is 7452645133. The reversal of 7452645120 is 215462547.

It is a happy number.

7452645120 is a `hidden beast` number, since 7 + 4 + 5 + 2 + 645 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17291305 + ... + 17291735.

It is an arithmetic number, because the mean of its divisors is an integer number (63772800).

Almost surely, 2^7452645120 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 7452645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13774924800).

7452645120 is an abundant number, since it is smaller than the sum of its proper divisors (20097204480).

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

7452645120 is a wasteful number, since it uses less digits than its factorization.

7452645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 7452645120 is about 86328.7039170634. The cubic root of 7452645120 is about 1953.3053841189.

The spelling of 7452645120 in words is "seven billion, four hundred fifty-two million, six hundred forty-five thousand, one hundred twenty".