61472644627416 has 256 divisors, whose sum is σ = 173938433356800. Its totient is φ = 17940019968000.

The previous prime is 61472644627411. The next prime is 61472644627421.

61472644627416 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (61472644627411) and next prime (61472644627421).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61472644627416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61472644627411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4695070566 + ... + 4695083658.

It is an arithmetic number, because the mean of its divisors is an integer number (679447005300).

Almost surely, 2^{61472644627416} is an apocalyptic number.

61472644627416 is a gapful number since it is divisible by the number (66) 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 61472644627416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86969216678400).

61472644627416 is an abundant number, since it is smaller than the sum of its proper divisors (112465788729384).

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

61472644627416 is a wasteful number, since it uses less digits than its factorization.

61472644627416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18010 (or 18006 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 60.

The spelling of 61472644627416 in words is "sixty-one trillion, four hundred seventy-two billion, six hundred forty-four million, six hundred twenty-seven thousand, four hundred sixteen".