61634784120 has 256 divisors, whose sum is σ = 227767680000. Its totient is φ = 12993232896.

The previous prime is 61634784119. The next prime is 61634784157. The reversal of 61634784120 is 2148743616.

It is a super-2 number, since 2×61634784120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22919736 + ... + 22922424.

It is an arithmetic number, because the mean of its divisors is an integer number (889717500).

Almost surely, 2^61634784120 is an apocalyptic number.

61634784120 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 61634784120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113883840000).

61634784120 is an abundant number, since it is smaller than the sum of its proper divisors (166132895880).

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

61634784120 is a wasteful number, since it uses less digits than its factorization.

61634784120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 61634784120 in words is "sixty-one billion, six hundred thirty-four million, seven hundred eighty-four thousand, one hundred twenty".