61865033472 has 576 divisors, whose sum is σ = 220610718720. Its totient is φ = 16868966400.

The previous prime is 61865033459. The next prime is 61865033473. The reversal of 61865033472 is 27433056816.

61865033472 is a `hidden beast` number, since 61 + 86 + 503 + 3 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61865033473) by changing a digit.

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, 29727472 + ... + 29729552.

It is an arithmetic number, because the mean of its divisors is an integer number (383004720).

Almost surely, 2^61865033472 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 61865033472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110305359360).

61865033472 is an abundant number, since it is smaller than the sum of its proper divisors (158745685248).

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

61865033472 is a wasteful number, since it uses less digits than its factorization.

61865033472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 61865033472 in words is "sixty-one billion, eight hundred sixty-five million, thirty-three thousand, four hundred seventy-two".