7068045600 has 1296 divisors, whose sum is σ = 33497231040. Its totient is φ = 1368576000.

The previous prime is 7068045577. The next prime is 7068045629. The reversal of 7068045600 is 65408607.

It is a happy number.

7068045600 is a `hidden beast` number, since 7 + 0 + 6 + 8 + 0 + 45 + 600 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 115869570 + ... + 115869630.

Almost surely, 2^7068045600 is an apocalyptic number.

7068045600 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 7068045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16748615520).

7068045600 is an abundant number, since it is smaller than the sum of its proper divisors (26429185440).

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

7068045600 is a wasteful number, since it uses less digits than its factorization.

7068045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7068045600 is about 84071.6694255562. The cubic root of 7068045600 is about 1919.1096131947.

The spelling of 7068045600 in words is "seven billion, sixty-eight million, forty-five thousand, six hundred".