6146738640 has 240 divisors, whose sum is σ = 24833827200. Its totient is φ = 1331002368.

The previous prime is 6146738629. The next prime is 6146738641. The reversal of 6146738640 is 468376416.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6146738641) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 63666 + ... + 127854.

It is an arithmetic number, because the mean of its divisors is an integer number (103474280).

Almost surely, 2^6146738640 is an apocalyptic number.

6146738640 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 6146738640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12416913600).

6146738640 is an abundant number, since it is smaller than the sum of its proper divisors (18687088560).

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

6146738640 is a wasteful number, since it uses less digits than its factorization.

6146738640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64234 (or 64225 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6146738640 is about 78401.1392774365. The cubic root of 6146738640 is about 1831.8148796247.

The spelling of 6146738640 in words is "six billion, one hundred forty-six million, seven hundred thirty-eight thousand, six hundred forty".