6842072290032 has 800 divisors, whose sum is σ = 23947392268800. Its totient is φ = 1883802977280.

The previous prime is 6842072289973. The next prime is 6842072290057. The reversal of 6842072290032 is 2300922702486.

It is a super-2 number, since 2×6842072290032² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6842072290032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1512726523 + ... + 1512731045.

It is an arithmetic number, because the mean of its divisors is an integer number (29934240336).

Almost surely, 2^{6842072290032} 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 6842072290032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11973696134400).

6842072290032 is an abundant number, since it is smaller than the sum of its proper divisors (17105319978768).

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

6842072290032 is a wasteful number, since it uses less digits than its factorization.

6842072290032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 6842072290032 in words is "six trillion, eight hundred forty-two billion, seventy-two million, two hundred ninety thousand, thirty-two".