8057427840 has 768 divisors, whose sum is σ = 35698890240. Its totient is φ = 1625702400.

The previous prime is 8057427821. The next prime is 8057427923. The reversal of 8057427840 is 487247508.

8057427840 is a `hidden beast` number, since 8 + 0 + 574 + 2 + 78 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16409995 + ... + 16410485.

It is an arithmetic number, because the mean of its divisors is an integer number (46482930).

Almost surely, 2^8057427840 is an apocalyptic number.

8057427840 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 8057427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17849445120).

8057427840 is an abundant number, since it is smaller than the sum of its proper divisors (27641462400).

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

8057427840 is a wasteful number, since it uses less digits than its factorization.

8057427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 8057427840 is about 89763.1764143850. The cubic root of 8057427840 is about 2004.7742475451.

The spelling of 8057427840 in words is "eight billion, fifty-seven million, four hundred twenty-seven thousand, eight hundred forty".