6346032480 has 336 divisors, whose sum is σ = 23044077504. Its totient is φ = 1649756160.

The previous prime is 6346032479. The next prime is 6346032487. The reversal of 6346032480 is 842306436.

It is a happy number.

6346032480 is a `hidden beast` number, since 6 + 3 + 4 + 603 + 2 + 48 + 0 = 666.

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 (6346032487) 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 55 ways as a sum of consecutive naturals, for example, 4781577 + ... + 4782903.

It is an arithmetic number, because the mean of its divisors is an integer number (68583564).

Almost surely, 2^6346032480 is an apocalyptic number.

6346032480 is a gapful number since it is divisible by the number (60) 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 6346032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11522038752).

6346032480 is an abundant number, since it is smaller than the sum of its proper divisors (16698045024).

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

6346032480 is a wasteful number, since it uses less digits than its factorization.

6346032480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6346032480 is about 79661.9889282210. The cubic root of 6346032480 is about 1851.4021490938.

The spelling of 6346032480 in words is "six billion, three hundred forty-six million, thirty-two thousand, four hundred eighty".