61816596480 has 288 divisors, whose sum is σ = 214786615680. Its totient is φ = 16442818560.

The previous prime is 61816596371. The next prime is 61816596487. The reversal of 61816596480 is 8469561816.

61816596480 is a `hidden beast` number, since 6 + 1 + 8 + 1 + 6 + 596 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×61816596480² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61816596487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58152429 + ... + 58153491.

It is an arithmetic number, because the mean of its divisors is an integer number (745786860).

Almost surely, 2^61816596480 is an apocalyptic number.

61816596480 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 61816596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107393307840).

61816596480 is an abundant number, since it is smaller than the sum of its proper divisors (152970019200).

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

61816596480 is a wasteful number, since it uses less digits than its factorization.

61816596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 61816596480 in words is "sixty-one billion, eight hundred sixteen million, five hundred ninety-six thousand, four hundred eighty".