6345740940 has 576 divisors, whose sum is σ = 23938467840. Its totient is φ = 1226649600.

The previous prime is 6345740939. The next prime is 6345740941. The reversal of 6345740940 is 490475436.

It is an interprime number because it is at equal distance from previous prime (6345740939) and next prime (6345740941).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6345740892 and 6345740901.

It is not an unprimeable number, because it can be changed into a prime (6345740941) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71300416 + ... + 71300504.

It is an arithmetic number, because the mean of its divisors is an integer number (41559840).

Almost surely, 2^6345740940 is an apocalyptic number.

6345740940 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 6345740940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11969233920).

6345740940 is an abundant number, since it is smaller than the sum of its proper divisors (17592726900).

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

6345740940 is a wasteful number, since it uses less digits than its factorization.

6345740940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 6345740940 is about 79660.1590508078. The cubic root of 6345740940 is about 1851.3737972036.

The spelling of 6345740940 in words is "six billion, three hundred forty-five million, seven hundred forty thousand, nine hundred forty".