61294375296 has 768 divisors, whose sum is σ = 239890291200. Its totient is φ = 14965309440.

The previous prime is 61294375273. The next prime is 61294375309. The reversal of 61294375296 is 69257349216.

61294375296 is a `hidden beast` number, since 61 + 29 + 4 + 37 + 529 + 6 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 76905970 + ... + 76906766.

It is an arithmetic number, because the mean of its divisors is an integer number (312357150).

Almost surely, 2^61294375296 is an apocalyptic number.

61294375296 is a gapful number since it is divisible by the number (66) 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 61294375296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119945145600).

61294375296 is an abundant number, since it is smaller than the sum of its proper divisors (178595915904).

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

61294375296 is a wasteful number, since it uses less digits than its factorization.

61294375296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 837 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 61294375296 in words is "sixty-one billion, two hundred ninety-four million, three hundred seventy-five thousand, two hundred ninety-six".