6761400450 has 96 divisors (see below), whose sum is σ = 19193533440. Its totient is φ = 1543060800.

The previous prime is 6761400427. The next prime is 6761400493. The reversal of 6761400450 is 540041676.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 720891 + ... + 730209.

It is an arithmetic number, because the mean of its divisors is an integer number (199932640).

Almost surely, 2^6761400450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6761400450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9596766720).

6761400450 is an abundant number, since it is smaller than the sum of its proper divisors (12432132990).

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

6761400450 is a wasteful number, since it uses less digits than its factorization.

6761400450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10032 (or 10027 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 6761400450 is about 82227.7352843917. The cubic root of 6761400450 is about 1890.9449517298.

The spelling of 6761400450 in words is "six billion, seven hundred sixty-one million, four hundred thousand, four hundred fifty".