6142735576890 has 192 divisors, whose sum is σ = 18071242076160. Its totient is φ = 1488907967040.

The previous prime is 6142735576867. The next prime is 6142735576921. The reversal of 6142735576890 is 986755372416.

6142735576890 is a `hidden beast` number, since 6 + 1 + 4 + 2 + 73 + 557 + 6 + 8 + 9 + 0 = 666.

It is a super-2 number, since 2×6142735576890² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 210591087 + ... + 210620253.

It is an arithmetic number, because the mean of its divisors is an integer number (94121052480).

It is a 1-persistent number, because it is pandigital, but 2⋅6142735576890 = 12285471153780 is not.

Almost surely, 2^{6142735576890} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6142735576890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9035621038080).

6142735576890 is an abundant number, since it is smaller than the sum of its proper divisors (11928506499270).

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

6142735576890 is a wasteful number, since it uses less digits than its factorization.

6142735576890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37079 (or 37067 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 6142735576890 in words is "six trillion, one hundred forty-two billion, seven hundred thirty-five million, five hundred seventy-six thousand, eight hundred ninety".