7066200960 has 1152 divisors, whose sum is σ = 32496759360. Its totient is φ = 1380188160.

The previous prime is 7066200959. The next prime is 7066200971. The reversal of 7066200960 is 690026607.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 115839330 + ... + 115839390.

Almost surely, 2^7066200960 is an apocalyptic number.

7066200960 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 7066200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248379680).

7066200960 is an abundant number, since it is smaller than the sum of its proper divisors (25430558400).

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

7066200960 is a wasteful number, since it uses less digits than its factorization.

7066200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 7066200960 is about 84060.6980699066. The cubic root of 7066200960 is about 1918.9426469843.

The spelling of 7066200960 in words is "seven billion, sixty-six million, two hundred thousand, nine hundred sixty".