6179120640 has 1120 divisors, whose sum is σ = 28338114816. Its totient is φ = 1254113280.

The previous prime is 6179120621. The next prime is 6179120653. The reversal of 6179120640 is 460219716.

6179120640 is a `hidden beast` number, since 6 + 1 + 7 + 9 + 1 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6179120595 and 6179120604.

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 143700459 + ... + 143700501.

Almost surely, 2^6179120640 is an apocalyptic number.

6179120640 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 6179120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14169057408).

6179120640 is an abundant number, since it is smaller than the sum of its proper divisors (22158994176).

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

6179120640 is an equidigital number, since it uses as much as digits as its factorization.

6179120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6179120640 is about 78607.3828593727. The cubic root of 6179120640 is about 1835.0260116540.

The spelling of 6179120640 in words is "six billion, one hundred seventy-nine million, one hundred twenty thousand, six hundred forty".