61942809600 has 792 divisors, whose sum is σ = 256061686400. Its totient is φ = 14014218240.

The previous prime is 61942809571. The next prime is 61942809601. The reversal of 61942809600 is 690824916.

It is a happy number.

61942809600 is a `hidden beast` number, since 6 + 19 + 4 + 28 + 0 + 9 + 600 = 666.

It is a super-2 number, since 2×61942809600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61942809601) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 311270301 + ... + 311270499.

Almost surely, 2^61942809600 is an apocalyptic number.

61942809600 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 61942809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128030843200).

61942809600 is an abundant number, since it is smaller than the sum of its proper divisors (194118876800).

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

61942809600 is a wasteful number, since it uses less digits than its factorization.

61942809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 61942809600 in words is "sixty-one billion, nine hundred forty-two million, eight hundred nine thousand, six hundred".