8629978896 has 320 divisors, whose sum is σ = 31883673600. Its totient is φ = 2168985600.

The previous prime is 8629978873. The next prime is 8629978913. The reversal of 8629978896 is 6988799268.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 63 ways as a sum of consecutive naturals, for example, 1027000 + ... + 1035368.

It is an arithmetic number, because the mean of its divisors is an integer number (99636480).

Almost surely, 2^8629978896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8629978896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15941836800).

8629978896 is an abundant number, since it is smaller than the sum of its proper divisors (23253694704).

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

8629978896 is a wasteful number, since it uses less digits than its factorization.

8629978896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8435 (or 8423 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 72.

The square root of 8629978896 is about 92897.6797126817. The cubic root of 8629978896 is about 2051.1775028604.

The spelling of 8629978896 in words is "eight billion, six hundred twenty-nine million, nine hundred seventy-eight thousand, eight hundred ninety-six".