220490629632 has 960 divisors, whose sum is σ = 831244296960. Its totient is φ = 57354780672.

The previous prime is 220490629609. The next prime is 220490629643. The reversal of 220490629632 is 236926094022.

220490629632 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 9 + 0 + 6 + 2 + 9 + 632 = 666.

It is a super-2 number, since 2×220490629632² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3020419548 + ... + 3020419620.

It is an arithmetic number, because the mean of its divisors is an integer number (865879476).

Almost surely, 2^220490629632 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 220490629632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415622148480).

220490629632 is an abundant number, since it is smaller than the sum of its proper divisors (610753667328).

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

220490629632 is an frugal number, since it uses more digits than its factorization.

220490629632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 220490629632 in words is "two hundred twenty billion, four hundred ninety million, six hundred twenty-nine thousand, six hundred thirty-two".