61482418200 has 480 divisors, whose sum is σ = 244778856960. Its totient is φ = 14010796800.

The previous prime is 61482418189. The next prime is 61482418213. The reversal of 61482418200 is 281428416.

61482418200 is a `hidden beast` number, since 61 + 482 + 41 + 82 + 0 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 52503615 + ... + 52504785.

It is an arithmetic number, because the mean of its divisors is an integer number (509955952).

Almost surely, 2^61482418200 is an apocalyptic number.

61482418200 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 61482418200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122389428480).

61482418200 is an abundant number, since it is smaller than the sum of its proper divisors (183296438760).

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

61482418200 is a wasteful number, since it uses less digits than its factorization.

61482418200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 61482418200 in words is "sixty-one billion, four hundred eighty-two million, four hundred eighteen thousand, two hundred".