8470074144 has 288 divisors, whose sum is σ = 27534064320. Its totient is φ = 2266693632.

The previous prime is 8470074143. The next prime is 8470074229. The reversal of 8470074144 is 4414700748.

It is not an unprimeable number, because it can be changed into a prime (8470074143) 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, 8668984 + ... + 8669960.

It is an arithmetic number, because the mean of its divisors is an integer number (95604390).

Almost surely, 2^8470074144 is an apocalyptic number.

8470074144 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 8470074144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13767032160).

8470074144 is an abundant number, since it is smaller than the sum of its proper divisors (19063990176).

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

8470074144 is a wasteful number, since it uses less digits than its factorization.

8470074144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The square root of 8470074144 is about 92033.0057316396. The cubic root of 8470074144 is about 2038.4296950551.

The spelling of 8470074144 in words is "eight billion, four hundred seventy million, seventy-four thousand, one hundred forty-four".