61764728480 has 192 divisors, whose sum is σ = 180503769600. Its totient is φ = 19448377344.

The previous prime is 61764728461. The next prime is 61764728537. The reversal of 61764728480 is 8482746716.

It is a super-2 number, since 2×61764728480² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2886782 + ... + 2908098.

It is an arithmetic number, because the mean of its divisors is an integer number (940123800).

Almost surely, 2^61764728480 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 61764728480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90251884800).

61764728480 is an abundant number, since it is smaller than the sum of its proper divisors (118739041120).

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

61764728480 is a wasteful number, since it uses less digits than its factorization.

61764728480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21551 (or 21543 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 53.

The spelling of 61764728480 in words is "sixty-one billion, seven hundred sixty-four million, seven hundred twenty-eight thousand, four hundred eighty".