6326120640 has 224 divisors, whose sum is σ = 23010107904. Its totient is φ = 1442488320.

The previous prime is 6326120627. The next prime is 6326120653. The reversal of 6326120640 is 460216236.

It is an interprime number because it is at equal distance from previous prime (6326120627) and next prime (6326120653).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6326120598 and 6326120607.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3674980 + ... + 3676700.

It is an arithmetic number, because the mean of its divisors is an integer number (102723696).

Almost surely, 2^6326120640 is an apocalyptic number.

6326120640 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 6326120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11505053952).

6326120640 is an abundant number, since it is smaller than the sum of its proper divisors (16683987264).

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

6326120640 is a wasteful number, since it uses less digits than its factorization.

6326120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 6326120640 is about 79536.9136942087. The cubic root of 6326120640 is about 1849.4637491277.

Adding to 6326120640 its reverse (460216236), we get a palindrome (6786336876).

The spelling of 6326120640 in words is "six billion, three hundred twenty-six million, one hundred twenty thousand, six hundred forty".