6597145848960 has 384 divisors, whose sum is σ = 24130765676160. Its totient is φ = 1655071211520.

The previous prime is 6597145848919. The next prime is 6597145849061. The reversal of 6597145848960 is 698485417956.

6597145848960 is a `hidden beast` number, since 6 + 5 + 9 + 71 + 458 + 48 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 47 ways as a sum of consecutive naturals, for example, 262706805 + ... + 262731915.

It is an arithmetic number, because the mean of its divisors is an integer number (62840535615).

Almost surely, 2^{6597145848960} is an apocalyptic number.

6597145848960 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 6597145848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065382838080).

6597145848960 is an abundant number, since it is smaller than the sum of its proper divisors (17533619827200).

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

6597145848960 is a wasteful number, since it uses less digits than its factorization.

6597145848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27836 (or 27821 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 6597145848960 in words is "six trillion, five hundred ninety-seven billion, one hundred forty-five million, eight hundred forty-eight thousand, nine hundred sixty".