6195450240 has 672 divisors, whose sum is σ = 25927184160. Its totient is φ = 1410877440.

The previous prime is 6195450227. The next prime is 6195450241. The reversal of 6195450240 is 420545916.

6195450240 is a `hidden beast` number, since 61 + 9 + 54 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 6195450195 and 6195450204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6195450241) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 22861305 + ... + 22861575.

Almost surely, 2^6195450240 is an apocalyptic number.

6195450240 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 6195450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963592080).

6195450240 is an abundant number, since it is smaller than the sum of its proper divisors (19731733920).

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

6195450240 is an equidigital number, since it uses as much as digits as its factorization.

6195450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 6195450240 is about 78711.1824329936. The cubic root of 6195450240 is about 1836.6410679459.

The spelling of 6195450240 in words is "six billion, one hundred ninety-five million, four hundred fifty thousand, two hundred forty".