61966857600 has 384 divisors, whose sum is σ = 236649139200. Its totient is φ = 15805532160.

The previous prime is 61966857587. The next prime is 61966857643. The reversal of 61966857600 is 675866916.

61966857600 is a `hidden beast` number, since 6 + 1 + 9 + 6 + 68 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1971609 + ... + 2002791.

It is an arithmetic number, because the mean of its divisors is an integer number (616273800).

Almost surely, 2^61966857600 is an apocalyptic number.

61966857600 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 61966857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118324569600).

61966857600 is an abundant number, since it is smaller than the sum of its proper divisors (174682281600).

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

61966857600 is a wasteful number, since it uses less digits than its factorization.

61966857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31239 (or 31216 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 61966857600 in words is "sixty-one billion, nine hundred sixty-six million, eight hundred fifty-seven thousand, six hundred".