61831728000 has 1536 divisors, whose sum is σ = 278625484800. Its totient is φ = 13412044800.

The previous prime is 61831727983. The next prime is 61831728043. The reversal of 61831728000 is 82713816.

61831728000 is a `hidden beast` number, since 61 + 8 + 317 + 280 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 486863937 + ... + 486864063.

It is an arithmetic number, because the mean of its divisors is an integer number (181396800).

Almost surely, 2^61831728000 is an apocalyptic number.

61831728000 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 61831728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139312742400).

61831728000 is an abundant number, since it is smaller than the sum of its proper divisors (216793756800).

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

61831728000 is a wasteful number, since it uses less digits than its factorization.

61831728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 61831728000 in words is "sixty-one billion, eight hundred thirty-one million, seven hundred twenty-eight thousand".