6597966203136 has 864 divisors, whose sum is σ = 25923306479616. Its totient is φ = 1560895488000.

The previous prime is 6597966203083. The next prime is 6597966203141. The reversal of 6597966203136 is 6313026697956.

6597966203136 is a `hidden beast` number, since 6 + 597 + 9 + 6 + 6 + 2 + 0 + 3 + 1 + 36 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93458731 + ... + 93529301.

It is an arithmetic number, because the mean of its divisors is an integer number (30003826944).

Almost surely, 2^{6597966203136} is an apocalyptic number.

6597966203136 is a gapful number since it is divisible by the number (66) 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 6597966203136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12961653239808).

6597966203136 is an abundant number, since it is smaller than the sum of its proper divisors (19325340276480).

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

6597966203136 is a wasteful number, since it uses less digits than its factorization.

6597966203136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70659 (or 70642 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 6597966203136 in words is "six trillion, five hundred ninety-seven billion, nine hundred sixty-six million, two hundred three thousand, one hundred thirty-six".