6140789760 has 528 divisors, whose sum is σ = 23522486400. Its totient is φ = 1362493440.

The previous prime is 6140789741. The next prime is 6140789761. The reversal of 6140789760 is 679870416.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6140789761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30858141 + ... + 30858339.

Almost surely, 2^6140789760 is an apocalyptic number.

6140789760 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 6140789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11761243200).

6140789760 is an abundant number, since it is smaller than the sum of its proper divisors (17381696640).

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

6140789760 is a wasteful number, since it uses less digits than its factorization.

6140789760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 6140789760 is about 78363.1913592089. The cubic root of 6140789760 is about 1831.2237388089.

The spelling of 6140789760 in words is "six billion, one hundred forty million, seven hundred eighty-nine thousand, seven hundred sixty".