6145661340 has 864 divisors, whose sum is σ = 25579008000. Its totient is φ = 1188794880.

The previous prime is 6145661329. The next prime is 6145661369. The reversal of 6145661340 is 431665416.

It is a happy number.

6145661340 is a `hidden beast` number, since 61 + 4 + 566 + 1 + 34 + 0 = 666.

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 = 6145661295 and 6145661304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 198247125 + ... + 198247155.

Almost surely, 2^6145661340 is an apocalyptic number.

6145661340 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 6145661340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789504000).

6145661340 is an abundant number, since it is smaller than the sum of its proper divisors (19433346660).

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

6145661340 is a wasteful number, since it uses less digits than its factorization.

6145661340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6145661340 is about 78394.2685404998. The cubic root of 6145661340 is about 1831.7078565032.

The spelling of 6145661340 in words is "six billion, one hundred forty-five million, six hundred sixty-one thousand, three hundred forty".