6195974653440 has 2560 divisors, whose sum is σ = 26787685478400. Its totient is φ = 1354442342400.

The previous prime is 6195974653417. The next prime is 6195974653447. The reversal of 6195974653440 is 443564795916.

It is a happy number.

6195974653440 is a `hidden beast` number, since 6 + 1 + 9 + 5 + 97 + 4 + 6 + 534 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6195974653447) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 56843804106 + ... + 56843804214.

It is an arithmetic number, because the mean of its divisors is an integer number (10463939640).

Almost surely, 2^{6195974653440} is an apocalyptic number.

6195974653440 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 6195974653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13393842739200).

6195974653440 is an abundant number, since it is smaller than the sum of its proper divisors (20591710824960).

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

6195974653440 is a wasteful number, since it uses less digits than its factorization.

6195974653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 6195974653440 in words is "six trillion, one hundred ninety-five billion, nine hundred seventy-four million, six hundred fifty-three thousand, four hundred forty".