6829512611040 has 1536 divisors, whose sum is σ = 29829316608000. Its totient is φ = 1424475611136.

The previous prime is 6829512611023. The next prime is 6829512611041. The reversal of 6829512611040 is 401162159286.

6829512611040 is a `hidden beast` number, since 6 + 8 + 29 + 5 + 1 + 2 + 611 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6829512611041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2189646601 + ... + 2189649719.

It is an arithmetic number, because the mean of its divisors is an integer number (19420128000).

Almost surely, 2^{6829512611040} is an apocalyptic number.

6829512611040 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 6829512611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14914658304000).

6829512611040 is an abundant number, since it is smaller than the sum of its proper divisors (22999803996960).

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

6829512611040 is a wasteful number, since it uses less digits than its factorization.

6829512611040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 6829512611040 in words is "six trillion, eight hundred twenty-nine billion, five hundred twelve million, six hundred eleven thousand, forty".