6405340032 has 768 divisors, whose sum is σ = 24617349120. Its totient is φ = 1612431360.

The previous prime is 6405340027. The next prime is 6405340049. The reversal of 6405340032 is 2300435046.

It is a super-2 number, since 2×6405340032² = 82056761851083522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6405339978 and 6405340005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87744348 + ... + 87744420.

It is an arithmetic number, because the mean of its divisors is an integer number (32053840).

Almost surely, 2^6405340032 is an apocalyptic number.

6405340032 is a gapful number since it is divisible by the number (62) 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 6405340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12308674560).

6405340032 is an abundant number, since it is smaller than the sum of its proper divisors (18212009088).

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

6405340032 is a wasteful number, since it uses less digits than its factorization.

6405340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 6405340032 is about 80033.3682410031. The cubic root of 6405340032 is about 1857.1517697448.

Adding to 6405340032 its reverse (2300435046), we get a palindrome (8705775078).

The spelling of 6405340032 in words is "six billion, four hundred five million, three hundred forty thousand, thirty-two".