8034554880 has 528 divisors, whose sum is σ = 30855135168. Its totient is φ = 1932902400.

The previous prime is 8034554851. The next prime is 8034554881. The reversal of 8034554880 is 884554308.

8034554880 is a `hidden beast` number, since 80 + 3 + 455 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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 (8034554881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61332415 + ... + 61332545.

It is an arithmetic number, because the mean of its divisors is an integer number (58437756).

Almost surely, 2^8034554880 is an apocalyptic number.

8034554880 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 8034554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427567584).

8034554880 is an abundant number, since it is smaller than the sum of its proper divisors (22820580288).

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

8034554880 is a wasteful number, since it uses less digits than its factorization.

8034554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 8034554880 is about 89635.6786106961. The cubic root of 8034554880 is about 2002.8754372823.

The spelling of 8034554880 in words is "eight billion, thirty-four million, five hundred fifty-four thousand, eight hundred eighty".