61800832287936 has 672 divisors, whose sum is σ = 212397680563200. Its totient is φ = 17569656760320.

The previous prime is 61800832287913. The next prime is 61800832287941. The reversal of 61800832287936 is 63978223800816.

61800832287936 is a `hidden beast` number, since 618 + 0 + 0 + 8 + 3 + 2 + 2 + 8 + 7 + 9 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×61800832287936² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27237033810 + ... + 27237036078.

Almost surely, 2^{61800832287936} 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 61800832287936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106198840281600).

61800832287936 is an abundant number, since it is smaller than the sum of its proper divisors (150596848275264).

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

61800832287936 is a wasteful number, since it uses less digits than its factorization.

61800832287936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 61800832287936 in words is "sixty-one trillion, eight hundred billion, eight hundred thirty-two million, two hundred eighty-seven thousand, nine hundred thirty-six".