6195847680 has 640 divisors, whose sum is σ = 24925190400. Its totient is φ = 1445068800.

The previous prime is 6195847673. The next prime is 6195847699. The reversal of 6195847680 is 867485916.

6195847680 is a `hidden beast` number, since 6 + 1 + 95 + 8 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×6195847680² = 76777056947522764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22049140 + ... + 22049420.

It is an arithmetic number, because the mean of its divisors is an integer number (38945610).

Almost surely, 2^6195847680 is an apocalyptic number.

6195847680 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 6195847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12462595200).

6195847680 is an abundant number, since it is smaller than the sum of its proper divisors (18729342720).

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

6195847680 is a wasteful number, since it uses less digits than its factorization.

6195847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 6195847680 is about 78713.7070655423. The cubic root of 6195847680 is about 1836.6803407988.

It can be divided in two parts, 619584 and 7680, that added together give a square (627264 = 792²).

The spelling of 6195847680 in words is "six billion, one hundred ninety-five million, eight hundred forty-seven thousand, six hundred eighty".