61738931794896 has 240 divisors, whose sum is σ = 185073776484480. Its totient is φ = 19144074977280.

The previous prime is 61738931794871. The next prime is 61738931794921. The reversal of 61738931794896 is 69849713983716.

61738931794896 is a `hidden beast` number, since 6 + 1 + 7 + 38 + 9 + 31 + 79 + 489 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (61738931794871) and next prime (61738931794921).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580139931 + ... + 580246341.

It is an arithmetic number, because the mean of its divisors is an integer number (771140735352).

Almost surely, 2^{61738931794896} 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 61738931794896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92536888242240).

61738931794896 is an abundant number, since it is smaller than the sum of its proper divisors (123334844689584).

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

61738931794896 is a wasteful number, since it uses less digits than its factorization.

61738931794896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109194 (or 109185 counting only the distinct ones).

The product of its digits is 2962842624, while the sum is 81.

The spelling of 61738931794896 in words is "sixty-one trillion, seven hundred thirty-eight billion, nine hundred thirty-one million, seven hundred ninety-four thousand, eight hundred ninety-six".