8778536000 has 336 divisors, whose sum is σ = 24247986048. Its totient is φ = 3144960000.

The previous prime is 8778535993. The next prime is 8778536021. The reversal of 8778536000 is 6358778.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58135925 + ... + 58136075.

Almost surely, 2^8778536000 is an apocalyptic number.

8778536000 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 8778536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12123993024).

8778536000 is an abundant number, since it is smaller than the sum of its proper divisors (15469450048).

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

8778536000 is a wasteful number, since it uses less digits than its factorization.

8778536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 8778536000 is about 93693.8418467297. The cubic root of 8778536000 is about 2062.8803143183.

The spelling of 8778536000 in words is "eight billion, seven hundred seventy-eight million, five hundred thirty-six thousand".