6146793240 has 512 divisors, whose sum is σ = 23113728000. Its totient is φ = 1303948800.

The previous prime is 6146793209. The next prime is 6146793253. The reversal of 6146793240 is 423976416.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6146793192 and 6146793201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40707165 + ... + 40707315.

It is an arithmetic number, because the mean of its divisors is an integer number (45144000).

Almost surely, 2^6146793240 is an apocalyptic number.

6146793240 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 6146793240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11556864000).

6146793240 is an abundant number, since it is smaller than the sum of its proper divisors (16966934760).

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

6146793240 is a wasteful number, since it uses less digits than its factorization.

6146793240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 6146793240 is about 78401.4874858889. The cubic root of 6146793240 is about 1831.8203034656.

The spelling of 6146793240 in words is "six billion, one hundred forty-six million, seven hundred ninety-three thousand, two hundred forty".