8010634880 has 128 divisors (see below), whose sum is σ = 19654306560. Its totient is φ = 3120640000.

The previous prime is 8010634873. The next prime is 8010634883. The reversal of 8010634880 is 884360108.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×8010634880² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8010634883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7549550 + ... + 7550610.

It is an arithmetic number, because the mean of its divisors is an integer number (153549270).

Almost surely, 2^8010634880 is an apocalyptic number.

8010634880 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 8010634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9827153280).

8010634880 is an abundant number, since it is smaller than the sum of its proper divisors (11643671680).

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

8010634880 is a wasteful number, since it uses less digits than its factorization.

8010634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 8010634880 is about 89502.1501417703. The cubic root of 8010634880 is about 2000.8858475791.

Adding to 8010634880 its reverse (884360108), we get a palindrome (8894994988).

The spelling of 8010634880 in words is "eight billion, ten million, six hundred thirty-four thousand, eight hundred eighty".