6340989600 has 648 divisors, whose sum is σ = 25891905312. Its totient is φ = 1445452800.

The previous prime is 6340989563. The next prime is 6340989607. The reversal of 6340989600 is 69890436.

6340989600 is a `hidden beast` number, since 6 + 34 + 0 + 9 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6340989607) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 107474371 + ... + 107474429.

It is an arithmetic number, because the mean of its divisors is an integer number (39956644).

Almost surely, 2^6340989600 is an apocalyptic number.

6340989600 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 6340989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12945952656).

6340989600 is an abundant number, since it is smaller than the sum of its proper divisors (19550915712).

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

6340989600 is a wasteful number, since it uses less digits than its factorization.

6340989600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 6340989600 is about 79630.3309047501. The cubic root of 6340989600 is about 1850.9116130489.

The spelling of 6340989600 in words is "six billion, three hundred forty million, nine hundred eighty-nine thousand, six hundred".