61339680000 has 450 divisors, whose sum is σ = 228604912074. Its totient is φ = 16353792000.

The previous prime is 61339679981. The next prime is 61339680001. The reversal of 61339680000 is 8693316.

It is a happy number.

61339680000 is a `hidden beast` number, since 613 + 39 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 34721104896 + 26618575104 = 186336^2 + 163152^2 .

It is a tau number, because it is divible by the number of its divisors (450).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61339680001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 12957634 + ... + 12962366.

Almost surely, 2^61339680000 is an apocalyptic number.

61339680000 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 61339680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114302456037).

61339680000 is an abundant number, since it is smaller than the sum of its proper divisors (167265232074).

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

61339680000 is an frugal number, since it uses more digits than its factorization.

61339680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4781 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

It can be divided in two parts, 613396 and 80000, that added together give a palindrome (693396).

The spelling of 61339680000 in words is "sixty-one billion, three hundred thirty-nine million, six hundred eighty thousand".