61280354304 has 480 divisors, whose sum is σ = 203054451600. Its totient is φ = 18345885696.

The previous prime is 61280354297. The next prime is 61280354309. The reversal of 61280354304 is 40345308216.

61280354304 is a `hidden beast` number, since 612 + 8 + 0 + 3 + 5 + 4 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61280354309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1656225774 + ... + 1656225810.

Almost surely, 2^61280354304 is an apocalyptic number.

61280354304 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 61280354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101527225800).

61280354304 is an abundant number, since it is smaller than the sum of its proper divisors (141774097296).

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

61280354304 is an frugal number, since it uses more digits than its factorization.

61280354304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 61280354304 in words is "sixty-one billion, two hundred eighty million, three hundred fifty-four thousand, three hundred four".