6846407099532 has 1152 divisors, whose sum is σ = 24863187686400. Its totient is φ = 1600910438400.

The previous prime is 6846407099503. The next prime is 6846407099537. The reversal of 6846407099532 is 2359907046486.

6846407099532 is a `hidden beast` number, since 6 + 8 + 4 + 6 + 4 + 0 + 7 + 0 + 99 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 6846407099532.

It is not an unprimeable number, because it can be changed into a prime (6846407099537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8462801944 + ... + 8462802752.

It is an arithmetic number, because the mean of its divisors is an integer number (21582628200).

Almost surely, 2^{6846407099532} 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 6846407099532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12431593843200).

6846407099532 is an abundant number, since it is smaller than the sum of its proper divisors (18016780586868).

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

6846407099532 is a wasteful number, since it uses less digits than its factorization.

6846407099532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 6846407099532 in words is "six trillion, eight hundred forty-six billion, four hundred seven million, ninety-nine thousand, five hundred thirty-two".