6403984752 has 80 divisors (see below), whose sum is σ = 18085985280. Its totient is φ = 1936473600.

The previous prime is 6403984747. The next prime is 6403984841. The reversal of 6403984752 is 2574893046.

It is a super-2 number, since 2×6403984752² = 82022041407697003008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240252 + ... + 265572.

It is an arithmetic number, because the mean of its divisors is an integer number (226074816).

Almost surely, 2^6403984752 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 6403984752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9042992640).

6403984752 is an abundant number, since it is smaller than the sum of its proper divisors (11682000528).

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

6403984752 is a wasteful number, since it uses less digits than its factorization.

6403984752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25822 (or 25816 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 6403984752 is about 80024.9008246808. The cubic root of 6403984752 is about 1857.0207780942.

The spelling of 6403984752 in words is "six billion, four hundred three million, nine hundred eighty-four thousand, seven hundred fifty-two".