61918467072 has 704 divisors, whose sum is σ = 226381824000. Its totient is φ = 14549483520.

The previous prime is 61918467043. The next prime is 61918467077. The reversal of 61918467072 is 27076481916.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61918467077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103369429 + ... + 103370027.

Almost surely, 2^61918467072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61918467072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113190912000).

61918467072 is an abundant number, since it is smaller than the sum of its proper divisors (164463356928).

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

61918467072 is a wasteful number, since it uses less digits than its factorization.

61918467072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 61918467072 in words is "sixty-one billion, nine hundred eighteen million, four hundred sixty-seven thousand, seventy-two".