6142696560 has 800 divisors, whose sum is σ = 28675164672. Its totient is φ = 1176975360.

The previous prime is 6142696543. The next prime is 6142696579. The reversal of 6142696560 is 656962416.

6142696560 is a `hidden beast` number, since 61 + 4 + 26 + 9 + 6 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6486007 + ... + 6486953.

Almost surely, 2^6142696560 is an apocalyptic number.

6142696560 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 6142696560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14337582336).

6142696560 is an abundant number, since it is smaller than the sum of its proper divisors (22532468112).

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

6142696560 is a wasteful number, since it uses less digits than its factorization.

6142696560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6142696560 is about 78375.3568412929. The cubic root of 6142696560 is about 1831.4132592782.

The spelling of 6142696560 in words is "six billion, one hundred forty-two million, six hundred ninety-six thousand, five hundred sixty".