61272566784 has 528 divisors, whose sum is σ = 218882926080. Its totient is φ = 16230481920.

The previous prime is 61272566783. The next prime is 61272566801. The reversal of 61272566784 is 48766527216.

It is a happy number.

61272566784 is a `hidden beast` number, since 6 + 1 + 2 + 7 + 2 + 566 + 78 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a self number, because there is not a number n which added to its sum of digits gives 61272566784.

It is not an unprimeable number, because it can be changed into a prime (61272566783) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25038649 + ... + 25041095.

Almost surely, 2^61272566784 is an apocalyptic number.

61272566784 is a gapful number since it is divisible by the number (64) 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 61272566784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109441463040).

61272566784 is an abundant number, since it is smaller than the sum of its proper divisors (157610359296).

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

61272566784 is a wasteful number, since it uses less digits than its factorization.

61272566784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2495 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 61272566784 in words is "sixty-one billion, two hundred seventy-two million, five hundred sixty-six thousand, seven hundred eighty-four".