7045172640 has 1008 divisors, whose sum is σ = 30441186720. Its totient is φ = 1522851840.

The previous prime is 7045172633. The next prime is 7045172653. The reversal of 7045172640 is 462715407.

7045172640 is a `hidden beast` number, since 7 + 0 + 4 + 5 + 1 + 7 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7045172595 and 7045172604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 370798551 + ... + 370798569.

It is an arithmetic number, because the mean of its divisors is an integer number (30199590).

Almost surely, 2^7045172640 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 7045172640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15220593360).

7045172640 is an abundant number, since it is smaller than the sum of its proper divisors (23396014080).

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

7045172640 is a wasteful number, since it uses less digits than its factorization.

7045172640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 57 counting only the distinct ones).

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

The square root of 7045172640 is about 83935.5266856651. The cubic root of 7045172640 is about 1917.0372273403.

The spelling of 7045172640 in words is "seven billion, forty-five million, one hundred seventy-two thousand, six hundred forty".