61784638272 has 280 divisors, whose sum is σ = 216534552960. Its totient is φ = 17043747840.

The previous prime is 61784638259. The next prime is 61784638297. The reversal of 61784638272 is 27283648716.

61784638272 is a `hidden beast` number, since 6 + 178 + 463 + 8 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1022997 + ... + 1081707.

Almost surely, 2^61784638272 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 61784638272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108267276480).

61784638272 is an abundant number, since it is smaller than the sum of its proper divisors (154749914688).

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

61784638272 is a wasteful number, since it uses less digits than its factorization.

61784638272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58771 (or 58752 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 61784638272 in words is "sixty-one billion, seven hundred eighty-four million, six hundred thirty-eight thousand, two hundred seventy-two".