220967792640 has 624 divisors, whose sum is σ = 907909836288. Its totient is φ = 50498961408.

The previous prime is 220967792621. The next prime is 220967792663. The reversal of 220967792640 is 46297769022.

220967792640 is a `hidden beast` number, since 220 + 96 + 7 + 79 + 264 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34833309 + ... + 34839651.

It is an arithmetic number, because the mean of its divisors is an integer number (1454983712).

Almost surely, 2^220967792640 is an apocalyptic number.

220967792640 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 220967792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453954918144).

220967792640 is an abundant number, since it is smaller than the sum of its proper divisors (686942043648).

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

220967792640 is an frugal number, since it uses more digits than its factorization.

220967792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6394 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 220967792640 in words is "two hundred twenty billion, nine hundred sixty-seven million, seven hundred ninety-two thousand, six hundred forty".