6141749760 has 240 divisors, whose sum is σ = 21959308800. Its totient is φ = 1584783360.

The previous prime is 6141749743. The next prime is 6141749773. The reversal of 6141749760 is 679471416.

6141749760 is a `hidden beast` number, since 61 + 41 + 7 + 497 + 60 = 666.

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

It is a super-2 number, since 2×6141749760² = 75442180228920115200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709941 + ... + 718539.

It is an arithmetic number, because the mean of its divisors is an integer number (91497120).

Almost surely, 2^6141749760 is an apocalyptic number.

6141749760 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 6141749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10979654400).

6141749760 is an abundant number, since it is smaller than the sum of its proper divisors (15817559040).

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

6141749760 is a wasteful number, since it uses less digits than its factorization.

6141749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8659 (or 8640 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 6141749760 is about 78369.3164446392. The cubic root of 6141749760 is about 1831.3191599331.

The spelling of 6141749760 in words is "six billion, one hundred forty-one million, seven hundred forty-nine thousand, seven hundred sixty".