6141766540 has 96 divisors (see below), whose sum is σ = 16243476480. Its totient is φ = 1898539776.

The previous prime is 6141766513. The next prime is 6141766559. The reversal of 6141766540 is 456671416.

It is a junction number, because it is equal to n+sod(n) for n = 6141766493 and 6141766502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39021 + ... + 117499.

It is an arithmetic number, because the mean of its divisors is an integer number (169202880).

Almost surely, 2^6141766540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6141766540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8121738240).

6141766540 is an abundant number, since it is smaller than the sum of its proper divisors (10101709940).

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

6141766540 is a wasteful number, since it uses less digits than its factorization.

6141766540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78551 (or 78549 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 6141766540 is about 78369.4235017714. The cubic root of 6141766540 is about 1831.3208277264.

The spelling of 6141766540 in words is "six billion, one hundred forty-one million, seven hundred sixty-six thousand, five hundred forty".