8438769864 has 224 divisors, whose sum is σ = 27231963840. Its totient is φ = 2400451200.

The previous prime is 8438769841. The next prime is 8438769907. The reversal of 8438769864 is 4689678348.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17186659 + ... + 17187149.

Almost surely, 2^8438769864 is an apocalyptic number.

8438769864 is a gapful number since it is divisible by the number (84) 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 8438769864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13615981920).

8438769864 is an abundant number, since it is smaller than the sum of its proper divisors (18793193976).

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

8438769864 is a wasteful number, since it uses less digits than its factorization.

8438769864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 924 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The square root of 8438769864 is about 91862.7773584056. Note that the first 3 decimals coincide. The cubic root of 8438769864 is about 2035.9153389144.

The spelling of 8438769864 in words is "eight billion, four hundred thirty-eight million, seven hundred sixty-nine thousand, eight hundred sixty-four".