6035964482142 has 576 divisors, whose sum is σ = 16536954470400. Its totient is φ = 1556510567040.

The previous prime is 6035964482137. The next prime is 6035964482147. The reversal of 6035964482142 is 2412844695306.

6035964482142 is a `hidden beast` number, since 6 + 0 + 3 + 59 + 6 + 448 + 2 + 142 = 666.

It is an interprime number because it is at equal distance from previous prime (6035964482137) and next prime (6035964482147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6035964482147) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16813271359 + ... + 16813271717.

It is an arithmetic number, because the mean of its divisors is an integer number (28709990400).

Almost surely, 2^{6035964482142} is an apocalyptic number.

6035964482142 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6035964482142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8268477235200).

6035964482142 is an abundant number, since it is smaller than the sum of its proper divisors (10500989988258).

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

6035964482142 is a wasteful number, since it uses less digits than its factorization.

6035964482142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 6035964482142 in words is "six trillion, thirty-five billion, nine hundred sixty-four million, four hundred eighty-two thousand, one hundred forty-two".