6736678200 has 384 divisors, whose sum is σ = 27379200000. Its totient is φ = 1489881600.

The previous prime is 6736678181. The next prime is 6736678241. The reversal of 6736678200 is 28766376.

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 95 ways as a sum of consecutive naturals, for example, 1168926 + ... + 1174674.

It is an arithmetic number, because the mean of its divisors is an integer number (71300000).

Almost surely, 2^6736678200 is an apocalyptic number.

6736678200 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 6736678200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13689600000).

6736678200 is an abundant number, since it is smaller than the sum of its proper divisors (20642521800).

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

6736678200 is a wasteful number, since it uses less digits than its factorization.

6736678200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5812 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6736678200 is about 82077.2696914316. The cubic root of 6736678200 is about 1888.6374659332.

The spelling of 6736678200 in words is "six billion, seven hundred thirty-six million, six hundred seventy-eight thousand, two hundred".