61339576320 has 864 divisors, whose sum is σ = 243727716960. Its totient is φ = 14691041280.

The previous prime is 61339576313. The next prime is 61339576351. The reversal of 61339576320 is 2367593316.

61339576320 is a `hidden beast` number, since 6 + 1 + 3 + 3 + 9 + 5 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 739030999 + ... + 739031081.

It is an arithmetic number, because the mean of its divisors is an integer number (282092265).

Almost surely, 2^61339576320 is an apocalyptic number.

61339576320 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 61339576320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121863858480).

61339576320 is an abundant number, since it is smaller than the sum of its proper divisors (182388140640).

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

61339576320 is an frugal number, since it uses more digits than its factorization.

61339576320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 61339576320 in words is "sixty-one billion, three hundred thirty-nine million, five hundred seventy-six thousand, three hundred twenty".