641392752 has 240 divisors, whose sum is σ = 2265604992. Its totient is φ = 153699840.

The previous prime is 641392729. The next prime is 641392753. The reversal of 641392752 is 257293146.

It is a super-2 number, since 2×641392752² = 822769324636267008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 641392752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641392753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335383 + ... + 337289.

Almost surely, 2^641392752 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 641392752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132802496).

641392752 is an abundant number, since it is smaller than the sum of its proper divisors (1624212240).

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

641392752 is a wasteful number, since it uses less digits than its factorization.

641392752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1943 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 641392752 is about 25325.7330002510. The cubic root of 641392752 is about 862.3985466890.

It can be divided in two parts, 641 and 392752, that added together give a palindrome (393393).

The spelling of 641392752 in words is "six hundred forty-one million, three hundred ninety-two thousand, seven hundred fifty-two".