6204781440 has 1024 divisors, whose sum is σ = 26978918400. Its totient is φ = 1343692800.

The previous prime is 6204781411. The next prime is 6204781447. The reversal of 6204781440 is 441874026.

6204781440 is a `hidden beast` number, since 6 + 204 + 7 + 8 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6204781395 and 6204781404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6204781447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200154225 + ... + 200154255.

It is an arithmetic number, because the mean of its divisors is an integer number (26346600).

Almost surely, 2^6204781440 is an apocalyptic number.

6204781440 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 6204781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13489459200).

6204781440 is an abundant number, since it is smaller than the sum of its proper divisors (20774136960).

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

6204781440 is a wasteful number, since it uses less digits than its factorization.

6204781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 6204781440 is about 78770.4350629092. The cubic root of 6204781440 is about 1837.5626834093.

The spelling of 6204781440 in words is "six billion, two hundred four million, seven hundred eighty-one thousand, four hundred forty".