7062128640 has 768 divisors, whose sum is σ = 29719872000. Its totient is φ = 1557135360.

The previous prime is 7062128603. The next prime is 7062128641. The reversal of 7062128640 is 468212607.

7062128640 is a `hidden beast` number, since 7 + 0 + 6 + 2 + 1 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 = 7062128595 and 7062128604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7062128641) 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, 79349716 + ... + 79349804.

It is an arithmetic number, because the mean of its divisors is an integer number (38697750).

Almost surely, 2^7062128640 is an apocalyptic number.

7062128640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7062128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859936000).

7062128640 is an abundant number, since it is smaller than the sum of its proper divisors (22657743360).

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

7062128640 is a wasteful number, since it uses less digits than its factorization.

7062128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7062128640 is about 84036.4720820668. The cubic root of 7062128640 is about 1918.5739410726.

The spelling of 7062128640 in words is "seven billion, sixty-two million, one hundred twenty-eight thousand, six hundred forty".