61694720236800 has 1944 divisors, whose sum is σ = 281745642499776. Its totient is φ = 13271862804480.

The previous prime is 61694720236741. The next prime is 61694720236847. The reversal of 61694720236800 is 863202749616.

61694720236800 is a `hidden beast` number, since 6 + 1 + 69 + 472 + 0 + 2 + 36 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1295457789 + ... + 1295505411.

Almost surely, 2^{61694720236800} is an apocalyptic number.

61694720236800 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 61694720236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140872821249888).

61694720236800 is an abundant number, since it is smaller than the sum of its proper divisors (220050922262976).

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

61694720236800 is a wasteful number, since it uses less digits than its factorization.

61694720236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47695 (or 47657 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 61694720236800 in words is "sixty-one trillion, six hundred ninety-four billion, seven hundred twenty million, two hundred thirty-six thousand, eight hundred".