61617671616 has 56 divisors (see below), whose sum is σ = 164710861840. Its totient is φ = 20327473152.

The previous prime is 61617671611. The next prime is 61617671653.

61617671616 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61617671611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1635631 + ... + 1672878.

It is an arithmetic number, because the mean of its divisors is an integer number (2941265390).

Almost surely, 2^61617671616 is an apocalyptic number.

It is an amenable number.

61617671616 is an abundant number, since it is smaller than the sum of its proper divisors (103093190224).

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

61617671616 is a wasteful number, since it uses less digits than its factorization.

61617671616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308621 (or 3308611 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The spelling of 61617671616 in words is "sixty-one billion, six hundred seventeen million, six hundred seventy-one thousand, six hundred sixteen".