61695849600 has 1152 divisors, whose sum is σ = 281283425280. Its totient is φ = 12502425600.

The previous prime is 61695849569. The next prime is 61695849619. The reversal of 61695849600 is 694859616.

It is a happy number.

61695849600 is a `hidden beast` number, since 61 + 6 + 95 + 8 + 496 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95356477 + ... + 95357123.

It is an arithmetic number, because the mean of its divisors is an integer number (244169640).

Almost surely, 2^61695849600 is an apocalyptic number.

61695849600 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 61695849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140641712640).

61695849600 is an abundant number, since it is smaller than the sum of its proper divisors (219587575680).

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

61695849600 is a wasteful number, since it uses less digits than its factorization.

61695849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 61695849600 in words is "sixty-one billion, six hundred ninety-five million, eight hundred forty-nine thousand, six hundred".