202105680480 has 1296 divisors, whose sum is σ = 841087237536. Its totient is φ = 43997184000.

The previous prime is 202105680473. The next prime is 202105680509. The reversal of 202105680480 is 84086501202.

202105680480 is a `hidden beast` number, since 2 + 0 + 2 + 10 + 568 + 0 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2846558845 + ... + 2846558915.

It is an arithmetic number, because the mean of its divisors is an integer number (648987066).

Almost surely, 2^202105680480 is an apocalyptic number.

202105680480 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 202105680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420543618768).

202105680480 is an abundant number, since it is smaller than the sum of its proper divisors (638981557056).

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

202105680480 is a wasteful number, since it uses less digits than its factorization.

202105680480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 202105680480 in words is "two hundred two billion, one hundred five million, six hundred eighty thousand, four hundred eighty".