1206549872640 has 1440 divisors, whose sum is σ = 5261851736064. Its totient is φ = 258201354240.

The previous prime is 1206549872621. The next prime is 1206549872641. The reversal of 1206549872640 is 462789456021.

1206549872640 is a `hidden beast` number, since 1 + 20 + 6 + 5 + 498 + 72 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1206549872641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6317014945 + ... + 6317015135.

Almost surely, 2^{1206549872640} is an apocalyptic number.

1206549872640 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 1206549872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630925868032).

1206549872640 is an abundant number, since it is smaller than the sum of its proper divisors (4055301863424).

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

1206549872640 is an frugal number, since it uses more digits than its factorization.

1206549872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1206549872640 in words is "one trillion, two hundred six billion, five hundred forty-nine million, eight hundred seventy-two thousand, six hundred forty".