8690042880 has 240 divisors, whose sum is σ = 31150779660. Its totient is φ = 2317123584.

The previous prime is 8690042861. The next prime is 8690042891. The reversal of 8690042880 is 882400968.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8653464576 + 36578304 = 93024^2 + 6048^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 19 ways as a sum of consecutive naturals, for example, 824202 + ... + 834678.

Almost surely, 2^8690042880 is an apocalyptic number.

8690042880 is a gapful number since it is divisible by the number (80) 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 8690042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15575389830).

8690042880 is an abundant number, since it is smaller than the sum of its proper divisors (22460736780).

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

8690042880 is a wasteful number, since it uses less digits than its factorization.

8690042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10516 (or 10487 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8690042880 is about 93220.3994842331. The cubic root of 8690042880 is about 2055.9251841338.

The spelling of 8690042880 in words is "eight billion, six hundred ninety million, forty-two thousand, eight hundred eighty".