7042828649472 has 2112 divisors, whose sum is σ = 27811643777280. Its totient is φ = 1739037081600.

The previous prime is 7042828649449. The next prime is 7042828649489. The reversal of 7042828649472 is 2749468282407.

7042828649472 is a `hidden beast` number, since 7 + 0 + 4 + 2 + 82 + 86 + 4 + 9 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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 191 ways as a sum of consecutive naturals, for example, 29223355272 + ... + 29223355512.

It is an arithmetic number, because the mean of its divisors is an integer number (13168391940).

Almost surely, 2^{7042828649472} is an apocalyptic number.

7042828649472 is a gapful number since it is divisible by the number (72) 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 7042828649472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13905821888640).

7042828649472 is an abundant number, since it is smaller than the sum of its proper divisors (20768815127808).

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

7042828649472 is a wasteful number, since it uses less digits than its factorization.

7042828649472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 7042828649472 in words is "seven trillion, forty-two billion, eight hundred twenty-eight million, six hundred forty-nine thousand, four hundred seventy-two".