8125042464 has 576 divisors, whose sum is σ = 30433148928. Its totient is φ = 1994803200.

The previous prime is 8125042463. The next prime is 8125042489. The reversal of 8125042464 is 4642405218.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8125042463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36435057 + ... + 36435279.

It is an arithmetic number, because the mean of its divisors is an integer number (52835328).

Almost surely, 2^8125042464 is an apocalyptic number.

8125042464 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 8125042464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15216574464).

8125042464 is an abundant number, since it is smaller than the sum of its proper divisors (22308106464).

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

8125042464 is a wasteful number, since it uses less digits than its factorization.

8125042464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8125042464 is about 90139.0174341833. The cubic root of 8125042464 is about 2010.3663815674.

The spelling of 8125042464 in words is "eight billion, one hundred twenty-five million, forty-two thousand, four hundred sixty-four".