61788988800 has 1728 divisors, whose sum is σ = 295223292000. Its totient is φ = 12002918400.

The previous prime is 61788988799. The next prime is 61788988801. The reversal of 61788988800 is 888988716.

It is a happy number.

61788988800 is a `hidden beast` number, since 617 + 8 + 8 + 9 + 8 + 8 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61788988799) and next prime (61788988801).

It is a Smith number, since the sum of its digits (63) 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 (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61788988801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 414691126 + ... + 414691274.

Almost surely, 2^61788988800 is an apocalyptic number.

61788988800 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 61788988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147611646000).

61788988800 is an abundant number, since it is smaller than the sum of its proper divisors (233434303200).

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

61788988800 is a wasteful number, since it uses less digits than its factorization.

61788988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 63.

The spelling of 61788988800 in words is "sixty-one billion, seven hundred eighty-eight million, nine hundred eighty-eight thousand, eight hundred".