6475788000 has 960 divisors, whose sum is σ = 27398891520. Its totient is φ = 1482624000.

The previous prime is 6475787863. The next prime is 6475788001. The reversal of 6475788000 is 8875746.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6475788001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 81971961 + ... + 81972039.

It is an arithmetic number, because the mean of its divisors is an integer number (28540512).

Almost surely, 2^6475788000 is an apocalyptic number.

6475788000 is a gapful number since it is divisible by the number (60) 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 6475788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13699445760).

6475788000 is an abundant number, since it is smaller than the sum of its proper divisors (20923103520).

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

6475788000 is a wasteful number, since it uses less digits than its factorization.

6475788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 6475788000 is about 80472.2809419492. The cubic root of 6475788000 is about 1863.9354757945.

The spelling of 6475788000 in words is "six billion, four hundred seventy-five million, seven hundred eighty-eight thousand".