8968034880 has 840 divisors, whose sum is σ = 38848759488. Its totient is φ = 1954326528.

The previous prime is 8968034863. The next prime is 8968034899. The reversal of 8968034880 is 884308698.

8968034880 is a `hidden beast` number, since 89 + 6 + 80 + 3 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×8968034880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29211687 + ... + 29211993.

Almost surely, 2^8968034880 is an apocalyptic number.

8968034880 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 8968034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19424379744).

8968034880 is an abundant number, since it is smaller than the sum of its proper divisors (29880724608).

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

8968034880 is a wasteful number, since it uses less digits than its factorization.

8968034880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 8968034880 is about 94699.7089752656. The cubic root of 8968034880 is about 2077.6183044621.

The spelling of 8968034880 in words is "eight billion, nine hundred sixty-eight million, thirty-four thousand, eight hundred eighty".