6397167214080 has 640 divisors, whose sum is σ = 24262922787840. Its totient is φ = 1593776701440.

The previous prime is 6397167214021. The next prime is 6397167214147. The reversal of 6397167214080 is 804127617936.

6397167214080 is a `hidden beast` number, since 6 + 397 + 167 + 2 + 14 + 0 + 80 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68312890 + ... + 68406470.

It is an arithmetic number, because the mean of its divisors is an integer number (37910816856).

Almost surely, 2^{6397167214080} is an apocalyptic number.

6397167214080 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 6397167214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12131461393920).

6397167214080 is an abundant number, since it is smaller than the sum of its proper divisors (17865755573760).

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

6397167214080 is a wasteful number, since it uses less digits than its factorization.

6397167214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93679 (or 93657 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 6397167214080 in words is "six trillion, three hundred ninety-seven billion, one hundred sixty-seven million, two hundred fourteen thousand, eighty".