42784066890 has 128 divisors (see below), whose sum is σ = 117881395200. Its totient is φ = 11030722560.

The previous prime is 42784066823. The next prime is 42784066901. The reversal of 42784066890 is 9866048724.

42784066890 is a `hidden beast` number, since 427 + 84 + 0 + 66 + 89 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 13499226 + ... + 13502394.

It is an arithmetic number, because the mean of its divisors is an integer number (920948400).

Almost surely, 2^42784066890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42784066890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58940697600).

42784066890 is an abundant number, since it is smaller than the sum of its proper divisors (75097328310).

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

42784066890 is a wasteful number, since it uses less digits than its factorization.

42784066890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 42784066890 in words is "forty-two billion, seven hundred eighty-four million, sixty-six thousand, eight hundred ninety".