6161702400 has 720 divisors, whose sum is σ = 26226904704. Its totient is φ = 1403412480.

The previous prime is 6161702381. The next prime is 6161702419. The reversal of 6161702400 is 42071616.

6161702400 is a `hidden beast` number, since 6 + 1 + 617 + 0 + 2 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6161702381) and next prime (6161702419).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21772659 + ... + 21772941.

Almost surely, 2^6161702400 is an apocalyptic number.

6161702400 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 6161702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13113452352).

6161702400 is an abundant number, since it is smaller than the sum of its proper divisors (20065202304).

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

6161702400 is an equidigital number, since it uses as much as digits as its factorization.

6161702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6161702400 is about 78496.5120244206. The cubic root of 6161702400 is about 1833.3001455884.

The spelling of 6161702400 in words is "six billion, one hundred sixty-one million, seven hundred two thousand, four hundred".