6759949900 has 144 divisors (see below), whose sum is σ = 16650934272. Its totient is φ = 2359872000.

The previous prime is 6759949883. The next prime is 6759949927. The reversal of 6759949900 is 99499576.

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, 4670977 + ... + 4672423.

It is an arithmetic number, because the mean of its divisors is an integer number (115631488).

Almost surely, 2^6759949900 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 6759949900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8325467136).

6759949900 is an abundant number, since it is smaller than the sum of its proper divisors (9890984372).

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

6759949900 is a wasteful number, since it uses less digits than its factorization.

6759949900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 58.

The square root of 6759949900 is about 82218.9144905234. The cubic root of 6759949900 is about 1890.8097180903.

It can be divided in two parts, 6759 and 949900, that added together give a palindrome (956659).

The spelling of 6759949900 in words is "six billion, seven hundred fifty-nine million, nine hundred forty-nine thousand, nine hundred".