61728151584 has 192 divisors, whose sum is σ = 178715496960. Its totient is φ = 18500352000.

The previous prime is 61728151549. The next prime is 61728151603. The reversal of 61728151584 is 48515182716.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56578879 + ... + 56579969.

It is an arithmetic number, because the mean of its divisors is an integer number (930809880).

Almost surely, 2^61728151584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61728151584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89357748480).

61728151584 is an abundant number, since it is smaller than the sum of its proper divisors (116987345376).

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

61728151584 is a wasteful number, since it uses less digits than its factorization.

61728151584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1647 counting only the distinct ones).

The product of its digits is 537600, while the sum is 48.

It can be divided in two parts, 61728 and 151584, that added together give a palindrome (213312).

The spelling of 61728151584 in words is "sixty-one billion, seven hundred twenty-eight million, one hundred fifty-one thousand, five hundred eighty-four".