7026242084640 has 960 divisors, whose sum is σ = 27083619851904. Its totient is φ = 1715304480768.

The previous prime is 7026242084611. The next prime is 7026242084651. The reversal of 7026242084640 is 464802426207.

7026242084640 is a `hidden beast` number, since 70 + 26 + 2 + 420 + 84 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1980895347 + ... + 1980898893.

Almost surely, 2^{7026242084640} 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 7026242084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13541809925952).

7026242084640 is an abundant number, since it is smaller than the sum of its proper divisors (20057377767264).

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

7026242084640 is an equidigital number, since it uses as much as digits as its factorization.

7026242084640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 7026242084640 in words is "seven trillion, twenty-six billion, two hundred forty-two million, eighty-four thousand, six hundred forty".