61283436480 has 336 divisors, whose sum is σ = 241222987200. Its totient is φ = 13989003264.

The previous prime is 61283436449. The next prime is 61283436499. The reversal of 61283436480 is 8463438216.

61283436480 is a `hidden beast` number, since 6 + 1 + 283 + 4 + 364 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20097996 + ... + 20101044.

Almost surely, 2^61283436480 is an apocalyptic number.

61283436480 is a gapful number since it is divisible by the number (60) 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 61283436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120611493600).

61283436480 is an abundant number, since it is smaller than the sum of its proper divisors (179939550720).

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

61283436480 is a wasteful number, since it uses less digits than its factorization.

61283436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 61283436480 in words is "sixty-one billion, two hundred eighty-three million, four hundred thirty-six thousand, four hundred eighty".