642152448 has 360 divisors, whose sum is σ = 2259457200. Its totient is φ = 181149696.

The previous prime is 642152447. The next prime is 642152449. The reversal of 642152448 is 844251246.

642152448 is a `hidden beast` number, since 64 + 2 + 152 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (642152447) and next prime (642152449).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642152447) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8128473 + ... + 8128551.

It is an arithmetic number, because the mean of its divisors is an integer number (6276270).

Almost surely, 2^642152448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642152448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129728600).

642152448 is an abundant number, since it is smaller than the sum of its proper divisors (1617304752).

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

642152448 is an equidigital number, since it uses as much as digits as its factorization.

642152448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 91 counting only the distinct ones).

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

The square root of 642152448 is about 25340.7270613927. The cubic root of 642152448 is about 862.7389009293.

It can be divided in two parts, 64 and 2152448, that added together give a palindrome (2152512).

The spelling of 642152448 in words is "six hundred forty-two million, one hundred fifty-two thousand, four hundred forty-eight".