61836480000 has 800 divisors, whose sum is σ = 242756917920. Its totient is φ = 15482880000.

The previous prime is 61836479923. The next prime is 61836480049. The reversal of 61836480000 is 8463816.

It is a happy number.

61836480000 is a `hidden beast` number, since 6 + 1 + 8 + 3 + 648 + 0 + 0 + 0 + 0 = 666.

61836480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 146879790 + ... + 146880210.

Almost surely, 2^61836480000 is an apocalyptic number.

61836480000 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 61836480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121378458960).

61836480000 is an abundant number, since it is smaller than the sum of its proper divisors (180920437920).

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

61836480000 is an equidigital number, since it uses as much as digits as its factorization.

61836480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 61836480000 in words is "sixty-one billion, eight hundred thirty-six million, four hundred eighty thousand".