61694189706240 has 3520 divisors, whose sum is σ = 290314527148800. Its totient is φ = 12229571248128.

The previous prime is 61694189706229. The next prime is 61694189706343. The reversal of 61694189706240 is 4260798149616.

61694189706240 is a `hidden beast` number, since 61 + 6 + 94 + 189 + 70 + 6 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 108425640676 + ... + 108425641244.

It is an arithmetic number, because the mean of its divisors is an integer number (82475717940).

Almost surely, 2^{61694189706240} is an apocalyptic number.

61694189706240 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 61694189706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145157263574400).

61694189706240 is an abundant number, since it is smaller than the sum of its proper divisors (228620337442560).

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

61694189706240 is a wasteful number, since it uses less digits than its factorization.

61694189706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 61694189706240 in words is "sixty-one trillion, six hundred ninety-four billion, one hundred eighty-nine million, seven hundred six thousand, two hundred forty".