6042629246976 has 1053 divisors, whose sum is σ = 21341763806103. Its totient is φ = 1642454876160.

The previous prime is 6042629246939. The next prime is 6042629247013. The reversal of 6042629246976 is 6796429262406.

The square root of 6042629246976 is 2458176.

It is a perfect power (a square), and thus also a powerful number.

6042629246976 is a `hidden beast` number, since 6 + 0 + 42 + 62 + 9 + 2 + 469 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (6042629246939) and next prime (6042629247013).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 102417444835 + ... + 102417444893.

Almost surely, 2^{6042629246976} is an apocalyptic number.

6042629246976 is the 2458176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6042629246976

6042629246976 is an abundant number, since it is smaller than the sum of its proper divisors (15299134559127).

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

6042629246976 is an equidigital number, since it uses as much as digits as its factorization.

6042629246976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 6042629246976 in words is "six trillion, forty-two billion, six hundred twenty-nine million, two hundred forty-six thousand, nine hundred seventy-six".