6788736000 has 528 divisors, whose sum is σ = 25107159168. Its totient is φ = 1763328000.

The previous prime is 6788735999. The next prime is 6788736029. The reversal of 6788736000 is 6378876.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81791959 + ... + 81792041.

Almost surely, 2^6788736000 is an apocalyptic number.

6788736000 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 6788736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12553579584).

6788736000 is an abundant number, since it is smaller than the sum of its proper divisors (18318423168).

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

6788736000 is a wasteful number, since it uses less digits than its factorization.

6788736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6788736000 is about 82393.7861734731. The cubic root of 6788736000 is about 1893.4898149227.

The spelling of 6788736000 in words is "six billion, seven hundred eighty-eight million, seven hundred thirty-six thousand".