6140775120 has 320 divisors, whose sum is σ = 20308033536. Its totient is φ = 1532805120.

The previous prime is 6140775107. The next prime is 6140775127. The reversal of 6140775120 is 215770416.

It is a super-2 number, since 2×6140775120² = 75418238148822028800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6140775127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48352497 + ... + 48352623.

Almost surely, 2^6140775120 is an apocalyptic number.

6140775120 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 6140775120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10154016768).

6140775120 is an abundant number, since it is smaller than the sum of its proper divisors (14167258416).

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

6140775120 is a wasteful number, since it uses less digits than its factorization.

6140775120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 6140775120 is about 78363.0979479500. The cubic root of 6140775120 is about 1831.2222835597. Note that the first 4 decimals are identical.

The spelling of 6140775120 in words is "six billion, one hundred forty million, seven hundred seventy-five thousand, one hundred twenty".