8054734464 has 288 divisors, whose sum is σ = 27838362240. Its totient is φ = 2226631680.

The previous prime is 8054734409. The next prime is 8054734483. The reversal of 8054734464 is 4644374508.

8054734464 is a `hidden beast` number, since 8 + 0 + 547 + 3 + 44 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1747587 + ... + 1752189.

It is an arithmetic number, because the mean of its divisors is an integer number (96660980).

Almost surely, 2^8054734464 is an apocalyptic number.

8054734464 is a gapful number since it is divisible by the number (84) 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 8054734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13919181120).

8054734464 is an abundant number, since it is smaller than the sum of its proper divisors (19783627776).

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

8054734464 is a wasteful number, since it uses less digits than its factorization.

8054734464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4668 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The square root of 8054734464 is about 89748.1724827865. The cubic root of 8054734464 is about 2004.5508423960.

The spelling of 8054734464 in words is "eight billion, fifty-four million, seven hundred thirty-four thousand, four hundred sixty-four".