61318192320 has 2016 divisors, whose sum is σ = 295119552000. Its totient is φ = 12070840320.

The previous prime is 61318192291. The next prime is 61318192343. The reversal of 61318192320 is 2329181316.

61318192320 is a `hidden beast` number, since 6 + 1 + 318 + 19 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3227273271 + ... + 3227273289.

Almost surely, 2^61318192320 is an apocalyptic number.

61318192320 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 61318192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147559776000).

61318192320 is an abundant number, since it is smaller than the sum of its proper divisors (233801359680).

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

61318192320 is a wasteful number, since it uses less digits than its factorization.

61318192320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 61318192320 in words is "sixty-one billion, three hundred eighteen million, one hundred ninety-two thousand, three hundred twenty".