6434007552 has 400 divisors, whose sum is σ = 22578019200. Its totient is φ = 1785618432.

The previous prime is 6434007551. The next prime is 6434007553. The reversal of 6434007552 is 2557004346.

6434007552 is a `hidden beast` number, since 64 + 3 + 40 + 0 + 7 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (6434007551) and next prime (6434007553).

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 (6434007551) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10740949 + ... + 10741547.

It is an arithmetic number, because the mean of its divisors is an integer number (56445048).

Almost surely, 2^6434007552 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 6434007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11289009600).

6434007552 is an abundant number, since it is smaller than the sum of its proper divisors (16144011648).

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

6434007552 is an equidigital number, since it uses as much as digits as its factorization.

6434007552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 6434007552 is about 80212.2655957304. The cubic root of 6434007552 is about 1859.9182482279.

The spelling of 6434007552 in words is "six billion, four hundred thirty-four million, seven thousand, five hundred fifty-two".