6738624900 has 360 divisors, whose sum is σ = 26436807936. Its totient is φ = 1449446400.

The previous prime is 6738624899. The next prime is 6738624931. The reversal of 6738624900 is 94268376.

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

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 119 ways as a sum of consecutive naturals, for example, 960405 + ... + 967395.

Almost surely, 2^6738624900 is an apocalyptic number.

6738624900 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 6738624900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13218403968).

6738624900 is an abundant number, since it is smaller than the sum of its proper divisors (19698183036).

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

6738624900 is a wasteful number, since it uses less digits than its factorization.

6738624900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7025 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6738624900 is about 82089.1277819420. The cubic root of 6738624900 is about 1888.8193684653.

The spelling of 6738624900 in words is "six billion, seven hundred thirty-eight million, six hundred twenty-four thousand, nine hundred".