6206755511040 has 288 divisors, whose sum is σ = 22927613538816. Its totient is φ = 1401593856000.

The previous prime is 6206755511027. The next prime is 6206755511059. The reversal of 6206755511040 is 401155576026.

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 = 6206755510983 and 6206755511001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 840040 + ... + 3622040.

It is an arithmetic number, because the mean of its divisors is an integer number (79609769232).

Almost surely, 2^{6206755511040} is an apocalyptic number.

6206755511040 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 6206755511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11463806769408).

6206755511040 is an abundant number, since it is smaller than the sum of its proper divisors (16720858027776).

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

6206755511040 is a wasteful number, since it uses less digits than its factorization.

6206755511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782115 (or 2782101 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 6206755511040 in words is "six trillion, two hundred six billion, seven hundred fifty-five million, five hundred eleven thousand, forty".