6162461760 has 448 divisors, whose sum is σ = 25136197632. Its totient is φ = 1243275264.

The previous prime is 6162461731. The next prime is 6162461761. The reversal of 6162461760 is 671642616.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (6162461761) 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 63 ways as a sum of consecutive naturals, for example, 2007747 + ... + 2010813.

It is an arithmetic number, because the mean of its divisors is an integer number (56107584).

Almost surely, 2^6162461760 is an apocalyptic number.

6162461760 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 6162461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12568098816).

6162461760 is an abundant number, since it is smaller than the sum of its proper divisors (18973735872).

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

6162461760 is a wasteful number, since it uses less digits than its factorization.

6162461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 6162461760 is about 78501.3487782216. The cubic root of 6162461760 is about 1833.3754536512.

The spelling of 6162461760 in words is "six billion, one hundred sixty-two million, four hundred sixty-one thousand, seven hundred sixty".