61642444424616 has 128 divisors (see below), whose sum is σ = 186798550118400. Its totient is φ = 18679202216640.

The previous prime is 61642444424599. The next prime is 61642444424621.

61642444424616 is a `hidden beast` number, since 6 + 16 + 4 + 2 + 4 + 4 + 4 + 4 + 2 + 4 + 616 = 666.

61642444424616 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159443241 + ... + 159829383.

It is an arithmetic number, because the mean of its divisors is an integer number (1459363672800).

Almost surely, 2^{61642444424616} is an apocalyptic number.

61642444424616 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61642444424616 is an abundant number, since it is smaller than the sum of its proper divisors (125156105693784).

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

61642444424616 is a wasteful number, since it uses less digits than its factorization.

61642444424616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453356 (or 453346 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

The spelling of 61642444424616 in words is "sixty-one trillion, six hundred forty-two billion, four hundred forty-four million, four hundred twenty-four thousand, six hundred sixteen".