61983532800 has 2160 divisors, whose sum is σ = 294414489600. Its totient is φ = 12541132800.

The previous prime is 61983532687. The next prime is 61983532813. The reversal of 61983532800 is 823538916.

It is a happy number.

61983532800 is a `hidden beast` number, since 6 + 19 + 8 + 353 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1999468785 + ... + 1999468815.

Almost surely, 2^61983532800 is an apocalyptic number.

61983532800 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 61983532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147207244800).

61983532800 is an abundant number, since it is smaller than the sum of its proper divisors (232430956800).

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

61983532800 is a wasteful number, since it uses less digits than its factorization.

61983532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 61983532800 in words is "sixty-one billion, nine hundred eighty-three million, five hundred thirty-two thousand, eight hundred".