61893688320 has 264 divisors, whose sum is σ = 218515055616. Its totient is φ = 16192929792.

The previous prime is 61893688313. The next prime is 61893688361. The reversal of 61893688320 is 2388639816.

It is a happy number.

61893688320 is a `hidden beast` number, since 6 + 189 + 368 + 83 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2429569 + ... + 2454911.

It is an arithmetic number, because the mean of its divisors is an integer number (827708544).

Almost surely, 2^61893688320 is an apocalyptic number.

61893688320 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 61893688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109257527808).

61893688320 is an abundant number, since it is smaller than the sum of its proper divisors (156621367296).

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

61893688320 is a wasteful number, since it uses less digits than its factorization.

61893688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25427 (or 25406 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 61893688320 in words is "sixty-one billion, eight hundred ninety-three million, six hundred eighty-eight thousand, three hundred twenty".