7803608064 has 352 divisors, whose sum is σ = 24958596096. Its totient is φ = 2121400320.

The previous prime is 7803608027. The next prime is 7803608069. The reversal of 7803608064 is 4608063087.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7803608069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46728109 + ... + 46728275.

Almost surely, 2^7803608064 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 7803608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12479298048).

7803608064 is an abundant number, since it is smaller than the sum of its proper divisors (17154988032).

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

7803608064 is a wasteful number, since it uses less digits than its factorization.

7803608064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 7803608064 is about 88338.0329416498. The cubic root of 7803608064 is about 1983.4982255173.

The spelling of 7803608064 in words is "seven billion, eight hundred three million, six hundred eight thousand, sixty-four".