220076433408 has 448 divisors, whose sum is σ = 661685516352. Its totient is φ = 64613253120.

The previous prime is 220076433403. The next prime is 220076433427. The reversal of 220076433408 is 804334670022.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220076433403) 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, 694247266 + ... + 694247582.

It is an arithmetic number, because the mean of its divisors is an integer number (1476976599).

Almost surely, 2^220076433408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220076433408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330842758176).

220076433408 is an abundant number, since it is smaller than the sum of its proper divisors (441609082944).

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

220076433408 is a wasteful number, since it uses less digits than its factorization.

220076433408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 220076433408 in words is "two hundred twenty billion, seventy-six million, four hundred thirty-three thousand, four hundred eight".