6148326240 has 288 divisors, whose sum is σ = 24040074240. Its totient is φ = 1401725952.

The previous prime is 6148326227. The next prime is 6148326241. The reversal of 6148326240 is 426238416.

6148326240 is a `hidden beast` number, since 614 + 8 + 32 + 6 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 6148326195 and 6148326204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6148326241) 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, 7327741 + ... + 7328579.

It is an arithmetic number, because the mean of its divisors is an integer number (83472480).

Almost surely, 2^6148326240 is an apocalyptic number.

6148326240 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 6148326240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020037120).

6148326240 is an abundant number, since it is smaller than the sum of its proper divisors (17891748000).

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

6148326240 is a wasteful number, since it uses less digits than its factorization.

6148326240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6148326240 is about 78411.2634766205. The cubic root of 6148326240 is about 1831.9725751188.

The spelling of 6148326240 in words is "six billion, one hundred forty-eight million, three hundred twenty-six thousand, two hundred forty".