6180783840 has 768 divisors, whose sum is σ = 28583331840. Its totient is φ = 1207664640.

The previous prime is 6180783827. The next prime is 6180783871. The reversal of 6180783840 is 483870816.

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 127 ways as a sum of consecutive naturals, for example, 5654334 + ... + 5655426.

It is an arithmetic number, because the mean of its divisors is an integer number (37217880).

Almost surely, 2^6180783840 is an apocalyptic number.

6180783840 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 6180783840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14291665920).

6180783840 is an abundant number, since it is smaller than the sum of its proper divisors (22402548000).

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

6180783840 is a wasteful number, since it uses less digits than its factorization.

6180783840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 6180783840 is about 78617.9613065615. The cubic root of 6180783840 is about 1835.1906381788.

The spelling of 6180783840 in words is "six billion, one hundred eighty million, seven hundred eighty-three thousand, eight hundred forty".