284637948980 has 192 divisors, whose sum is σ = 766308598272. Its totient is φ = 86215311360.

The previous prime is 284637948953. The next prime is 284637949109. The reversal of 284637948980 is 89849736482.

It is a super-3 number, since 3×284637948980³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 284637948980.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55666904 + ... + 55672016.

It is an arithmetic number, because the mean of its divisors is an integer number (3991190616).

Almost surely, 2^284637948980 is an apocalyptic number.

284637948980 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 284637948980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383154299136).

284637948980 is an abundant number, since it is smaller than the sum of its proper divisors (481670649292).

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

284637948980 is a wasteful number, since it uses less digits than its factorization.

284637948980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6154 (or 6152 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 68.

The spelling of 284637948980 in words is "two hundred eighty-four billion, six hundred thirty-seven million, nine hundred forty-eight thousand, nine hundred eighty".