220479537600 has 1512 divisors, whose sum is σ = 964535015808. Its totient is φ = 49380710400.

The previous prime is 220479537581. The next prime is 220479537611. The reversal of 220479537600 is 6735974022.

220479537600 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 7 + 9 + 5 + 37 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×220479537600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1352635119 + ... + 1352635281.

It is an arithmetic number, because the mean of its divisors is an integer number (637919984).

Almost surely, 2^220479537600 is an apocalyptic number.

220479537600 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 220479537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482267507904).

220479537600 is an abundant number, since it is smaller than the sum of its proper divisors (744055478208).

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

220479537600 is a wasteful number, since it uses less digits than its factorization.

220479537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 220479537600 in words is "two hundred twenty billion, four hundred seventy-nine million, five hundred thirty-seven thousand, six hundred".