213678753684480 has 3520 divisors, whose sum is σ = 963472868044800. Its totient is φ = 44736728924160.

The previous prime is 213678753684439. The next prime is 213678753684481. The reversal of 213678753684480 is 84486357876312.

213678753684480 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 7 + 8 + 7 + 536 + 8 + 4 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 213678753684399 and 213678753684408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213678753684481) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 195497486814 + ... + 195497487906.

Almost surely, 2^{213678753684480} is an apocalyptic number.

213678753684480 is a gapful number since it is divisible by the number (20) 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 213678753684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481736434022400).

213678753684480 is an abundant number, since it is smaller than the sum of its proper divisors (749794114360320).

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

213678753684480 is a wasteful number, since it uses less digits than its factorization.

213678753684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 213678753684480 in words is "two hundred thirteen trillion, six hundred seventy-eight billion, seven hundred fifty-three million, six hundred eighty-four thousand, four hundred eighty".