1206921680640 has 1728 divisors, whose sum is σ = 4936933048320. Its totient is φ = 269773701120.

The previous prime is 1206921680603. The next prime is 1206921680659. The reversal of 1206921680640 is 460861296021.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9503320257 + ... + 9503320383.

It is an arithmetic number, because the mean of its divisors is an integer number (2857021440).

Almost surely, 2^{1206921680640} is an apocalyptic number.

1206921680640 is a gapful number since it is divisible by the number (10) 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 1206921680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468466524160).

1206921680640 is an abundant number, since it is smaller than the sum of its proper divisors (3730011367680).

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

1206921680640 is a wasteful number, since it uses less digits than its factorization.

1206921680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1206921680640 in words is "one trillion, two hundred six billion, nine hundred twenty-one million, six hundred eighty thousand, six hundred forty".