61684852320 has 768 divisors, whose sum is σ = 267549972480. Its totient is φ = 12925329408.

The previous prime is 61684852319. The next prime is 61684852343. The reversal of 61684852320 is 2325848616.

61684852320 is a `hidden beast` number, since 6 + 1 + 68 + 48 + 523 + 20 = 666.

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 127 ways as a sum of consecutive naturals, for example, 68009307 + ... + 68010213.

It is an arithmetic number, because the mean of its divisors is an integer number (348372360).

Almost surely, 2^61684852320 is an apocalyptic number.

61684852320 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 61684852320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133774986240).

61684852320 is an abundant number, since it is smaller than the sum of its proper divisors (205865120160).

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

61684852320 is a wasteful number, since it uses less digits than its factorization.

61684852320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 61684852320 in words is "sixty-one billion, six hundred eighty-four million, eight hundred fifty-two thousand, three hundred twenty".