6030302826240 has 1080 divisors, whose sum is σ = 27106047571680. Its totient is φ = 1253031690240.

The previous prime is 6030302826221. The next prime is 6030302826253. The reversal of 6030302826240 is 426282030306.

6030302826240 is a `hidden beast` number, since 6 + 0 + 3 + 0 + 3 + 0 + 28 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a junction number, because it is equal to n+sod(n) for n = 6030302826195 and 6030302826204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 87782626 + ... + 87851294.

It is an arithmetic number, because the mean of its divisors is an integer number (25098192196).

Almost surely, 2^{6030302826240} is an apocalyptic number.

6030302826240 is a gapful number since it is divisible by the number (60) 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 6030302826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13553023785840).

6030302826240 is an abundant number, since it is smaller than the sum of its proper divisors (21075744745440).

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

6030302826240 is a wasteful number, since it uses less digits than its factorization.

6030302826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68731 (or 68697 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 6030302826240 its reverse (426282030306), we get a palindrome (6456584856546).

The spelling of 6030302826240 in words is "six trillion, thirty billion, three hundred two million, eight hundred twenty-six thousand, two hundred forty".