61820635403700 has 576 divisors, whose sum is σ = 206609556142080. Its totient is φ = 15845155200000.

The previous prime is 61820635403699. The next prime is 61820635403729. The reversal of 61820635403700 is 730453602816.

61820635403700 is a `hidden beast` number, since 6 + 1 + 8 + 2 + 0 + 635 + 4 + 0 + 3 + 7 + 0 + 0 = 666.

61820635403700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16749018855 + ... + 16749022545.

It is an arithmetic number, because the mean of its divisors is an integer number (358697146080).

Almost surely, 2^{61820635403700} is an apocalyptic number.

61820635403700 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 61820635403700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103304778071040).

61820635403700 is an abundant number, since it is smaller than the sum of its proper divisors (144788920738380).

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

61820635403700 is a wasteful number, since it uses less digits than its factorization.

61820635403700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5944 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 61820635403700 in words is "sixty-one trillion, eight hundred twenty billion, six hundred thirty-five million, four hundred three thousand, seven hundred".