8638077360 has 320 divisors, whose sum is σ = 30546616320. Its totient is φ = 2000624640.

The previous prime is 8638077353. The next prime is 8638077421. The reversal of 8638077360 is 637708368.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5334631 + ... + 5336249.

It is an arithmetic number, because the mean of its divisors is an integer number (95458176).

Almost surely, 2^8638077360 is an apocalyptic number.

8638077360 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 8638077360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15273308160).

8638077360 is an abundant number, since it is smaller than the sum of its proper divisors (21908538960).

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

8638077360 is a wasteful number, since it uses less digits than its factorization.

8638077360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 8638077360 is about 92941.2575770309. The cubic root of 8638077360 is about 2051.8189178616.

The spelling of 8638077360 in words is "eight billion, six hundred thirty-eight million, seventy-seven thousand, three hundred sixty".