8951136480 has 576 divisors, whose sum is σ = 38011716288. Its totient is φ = 1884487680.

The previous prime is 8951136479. The next prime is 8951136487. The reversal of 8951136480 is 846311598.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8951136487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3499362 + ... + 3501918.

It is an arithmetic number, because the mean of its divisors is an integer number (65992563).

Almost surely, 2^8951136480 is an apocalyptic number.

8951136480 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 8951136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19005858144).

8951136480 is an abundant number, since it is smaller than the sum of its proper divisors (29060579808).

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

8951136480 is a wasteful number, since it uses less digits than its factorization.

8951136480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8951136480 is about 94610.4459348966. The cubic root of 8951136480 is about 2076.3125371730.

The spelling of 8951136480 in words is "eight billion, nine hundred fifty-one million, one hundred thirty-six thousand, four hundred eighty".