6160964457600 has 1536 divisors, whose sum is σ = 23820939648000. Its totient is φ = 1572971581440.

The previous prime is 6160964457587. The next prime is 6160964457607. The reversal of 6160964457600 is 67544690616.

6160964457600 is a `hidden beast` number, since 6 + 1 + 6 + 0 + 9 + 64 + 4 + 576 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6160964457607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17754940627 + ... + 17754940973.

It is an arithmetic number, because the mean of its divisors is an integer number (15508424250).

Almost surely, 2^{6160964457600} is an apocalyptic number.

6160964457600 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 6160964457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11910469824000).

6160964457600 is an abundant number, since it is smaller than the sum of its proper divisors (17659975190400).

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

6160964457600 is an equidigital number, since it uses as much as digits as its factorization.

6160964457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 6160964457600 in words is "six trillion, one hundred sixty billion, nine hundred sixty-four million, four hundred fifty-seven thousand, six hundred".