220719974400 has 864 divisors, whose sum is σ = 831743640000. Its totient is φ = 55862231040.

The previous prime is 220719974353. The next prime is 220719974401. The reversal of 220719974400 is 4479917022.

It is a happy number.

220719974400 is a `hidden beast` number, since 2 + 20 + 71 + 99 + 74 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (220719974401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1109145501 + ... + 1109145699.

It is an arithmetic number, because the mean of its divisors is an integer number (962666250).

Almost surely, 2^220719974400 is an apocalyptic number.

220719974400 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 220719974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415871820000).

220719974400 is an abundant number, since it is smaller than the sum of its proper divisors (611023665600).

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

220719974400 is a wasteful number, since it uses less digits than its factorization.

220719974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 220719974400 in words is "two hundred twenty billion, seven hundred nineteen million, nine hundred seventy-four thousand, four hundred".