61398328320 has 704 divisors, whose sum is σ = 253358991360. Its totient is φ = 13809844224.

The previous prime is 61398328319. The next prime is 61398328331. The reversal of 61398328320 is 2382389316.

61398328320 is a `hidden beast` number, since 613 + 9 + 8 + 3 + 2 + 8 + 3 + 20 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64834087 + ... + 64835033.

Almost surely, 2^61398328320 is an apocalyptic number.

61398328320 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 61398328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126679495680).

61398328320 is an abundant number, since it is smaller than the sum of its proper divisors (191960663040).

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

61398328320 is a wasteful number, since it uses less digits than its factorization.

61398328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 61398328320 in words is "sixty-one billion, three hundred ninety-eight million, three hundred twenty-eight thousand, three hundred twenty".