61033968138240 has 576 divisors, whose sum is σ = 213966534337920. Its totient is φ = 16088983142400.

The previous prime is 61033968138233. The next prime is 61033968138289. The reversal of 61033968138240 is 4283186933016.

61033968138240 is a `hidden beast` number, since 6 + 1 + 0 + 3 + 396 + 8 + 1 + 3 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 6264386809 + ... + 6264396551.

It is an arithmetic number, because the mean of its divisors is an integer number (371469677670).

Almost surely, 2^{61033968138240} is an apocalyptic number.

61033968138240 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 61033968138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106983267168960).

61033968138240 is an abundant number, since it is smaller than the sum of its proper divisors (152932566199680).

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

61033968138240 is a wasteful number, since it uses less digits than its factorization.

61033968138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10550 (or 10527 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 61033968138240 in words is "sixty-one trillion, thirty-three billion, nine hundred sixty-eight million, one hundred thirty-eight thousand, two hundred forty".