220576487040 has 1536 divisors, whose sum is σ = 1013868576000. Its totient is φ = 44869386240.

The previous prime is 220576487017. The next prime is 220576487051. The reversal of 220576487040 is 40784675022.

It is a happy number.

220576487040 is a `hidden beast` number, since 2 + 2 + 0 + 576 + 4 + 8 + 70 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 319213095 + ... + 319213785.

Almost surely, 2^220576487040 is an apocalyptic number.

220576487040 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 220576487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506934288000).

220576487040 is an abundant number, since it is smaller than the sum of its proper divisors (793292088960).

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

220576487040 is a wasteful number, since it uses less digits than its factorization.

220576487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 220576487040 in words is "two hundred twenty billion, five hundred seventy-six million, four hundred eighty-seven thousand, forty".