6006157280340 has 192 divisors, whose sum is σ = 19462746637824. Its totient is φ = 1355541184512.

The previous prime is 6006157280339. The next prime is 6006157280353. The reversal of 6006157280340 is 430827516006.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6006157280292 and 6006157280301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17470182 + ... + 17810658.

It is an arithmetic number, because the mean of its divisors is an integer number (101368472072).

Almost surely, 2^{6006157280340} is an apocalyptic number.

6006157280340 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 6006157280340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9731373318912).

6006157280340 is an abundant number, since it is smaller than the sum of its proper divisors (13456589357484).

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

6006157280340 is a wasteful number, since it uses less digits than its factorization.

6006157280340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341026 (or 341024 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 6006157280340 in words is "six trillion, six billion, one hundred fifty-seven million, two hundred eighty thousand, three hundred forty".