6094448640 has 768 divisors, whose sum is σ = 25662873600. Its totient is φ = 1343029248.

The previous prime is 6094448623. The next prime is 6094448653. The reversal of 6094448640 is 468444906.

6094448640 is a `hidden beast` number, since 60 + 94 + 448 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 90961887 + ... + 90961953.

It is an arithmetic number, because the mean of its divisors is an integer number (33415200).

Almost surely, 2^6094448640 is an apocalyptic number.

6094448640 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 6094448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12831436800).

6094448640 is an abundant number, since it is smaller than the sum of its proper divisors (19568424960).

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

6094448640 is a wasteful number, since it uses less digits than its factorization.

6094448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 6094448640 is about 78066.9497290627. The cubic root of 6094448640 is about 1826.6056941186.

The spelling of 6094448640 in words is "six billion, ninety-four million, four hundred forty-eight thousand, six hundred forty".