7072011648 has 192 divisors, whose sum is σ = 22624318080. Its totient is φ = 2105671680.

The previous prime is 7072011647. The next prime is 7072011677. The reversal of 7072011648 is 8461102707.

7072011648 is a `hidden beast` number, since 7 + 0 + 7 + 2 + 0 + 1 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (7072011647) 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 23 ways as a sum of consecutive naturals, for example, 456640 + ... + 471872.

It is an arithmetic number, because the mean of its divisors is an integer number (117834990).

Almost surely, 2^7072011648 is an apocalyptic number.

7072011648 is a gapful number since it is divisible by the number (78) 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 7072011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11312159040).

7072011648 is an abundant number, since it is smaller than the sum of its proper divisors (15552306432).

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

7072011648 is a wasteful number, since it uses less digits than its factorization.

7072011648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15297 (or 15282 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7072011648 is about 84095.2534213436. The cubic root of 7072011648 is about 1919.4684987148.

The spelling of 7072011648 in words is "seven billion, seventy-two million, eleven thousand, six hundred forty-eight".