220976967680 has 416 divisors, whose sum is σ = 658760847360. Its totient is φ = 69434081280.

The previous prime is 220976967637. The next prime is 220976967683. The reversal of 220976967680 is 86769679022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220976967683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84437732 + ... + 84440348.

Almost surely, 2^220976967680 is an apocalyptic number.

220976967680 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 220976967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329380423680).

220976967680 is an abundant number, since it is smaller than the sum of its proper divisors (437783879680).

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

220976967680 is a wasteful number, since it uses less digits than its factorization.

220976967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 62.

The spelling of 220976967680 in words is "two hundred twenty billion, nine hundred seventy-six million, nine hundred sixty-seven thousand, six hundred eighty".