7042106880 has 480 divisors, whose sum is σ = 25899217344. Its totient is φ = 1764753408.

The previous prime is 7042106879. The next prime is 7042106887. The reversal of 7042106880 is 886012407.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7042106887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51402172 + ... + 51402308.

Almost surely, 2^7042106880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7042106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12949608672).

7042106880 is an abundant number, since it is smaller than the sum of its proper divisors (18857110464).

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

7042106880 is a wasteful number, since it uses less digits than its factorization.

7042106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7042106880 is about 83917.2621097710. The cubic root of 7042106880 is about 1916.7591159272.

The spelling of 7042106880 in words is "seven billion, forty-two million, one hundred six thousand, eight hundred eighty".