7006220928 has 256 divisors, whose sum is σ = 23970816000. Its totient is φ = 1973099520.

The previous prime is 7006220861. The next prime is 7006220971. The reversal of 7006220928 is 8290226007.

7006220928 is a `hidden beast` number, since 7 + 0 + 0 + 622 + 0 + 9 + 28 = 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 = 7006220892 and 7006220901.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1715593 + ... + 1719671.

It is an arithmetic number, because the mean of its divisors is an integer number (93636000).

Almost surely, 2^7006220928 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 7006220928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11985408000).

7006220928 is an abundant number, since it is smaller than the sum of its proper divisors (16964595072).

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

7006220928 is a wasteful number, since it uses less digits than its factorization.

7006220928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7006220928 is about 83703.1715528151. The cubic root of 7006220928 is about 1913.4976915173.

It can be divided in two parts, 700 and 6220928, that added together give a triangular number (6221628 = T₃₅₂₇).

The spelling of 7006220928 in words is "seven billion, six million, two hundred twenty thousand, nine hundred twenty-eight".