61296384030336 has 2304 divisors, whose sum is σ = 246885398323200. Its totient is φ = 14960944373760.

The previous prime is 61296384030283. The next prime is 61296384030341. The reversal of 61296384030336 is 63303048369216.

It is a happy number.

61296384030336 is a `hidden beast` number, since 6 + 1 + 296 + 3 + 8 + 40 + 303 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14126843655 + ... + 14126847993.

It is an arithmetic number, because the mean of its divisors is an integer number (107155120800).

Almost surely, 2^{61296384030336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61296384030336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123442699161600).

61296384030336 is an abundant number, since it is smaller than the sum of its proper divisors (185589014292864).

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

61296384030336 is a wasteful number, since it uses less digits than its factorization.

61296384030336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 61296384030336 in words is "sixty-one trillion, two hundred ninety-six billion, three hundred eighty-four million, thirty thousand, three hundred thirty-six".