61326843120 has 240 divisors, whose sum is σ = 226148963040. Its totient is φ = 15391752192.

The previous prime is 61326843107. The next prime is 61326843133. The reversal of 61326843120 is 2134862316.

61326843120 is a `hidden beast` number, since 613 + 2 + 6 + 8 + 4 + 31 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61326843107) and next prime (61326843133).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 237696 + ... + 423264.

It is an arithmetic number, because the mean of its divisors is an integer number (942287346).

Almost surely, 2^61326843120 is an apocalyptic number.

61326843120 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 61326843120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113074481520).

61326843120 is an abundant number, since it is smaller than the sum of its proper divisors (164822119920).

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

61326843120 is a wasteful number, since it uses less digits than its factorization.

61326843120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185614 (or 185596 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 61326843120 in words is "sixty-one billion, three hundred twenty-six million, eight hundred forty-three thousand, one hundred twenty".