61618687200 has 1152 divisors, whose sum is σ = 272232576000. Its totient is φ = 13138329600.

The previous prime is 61618687189. The next prime is 61618687217. The reversal of 61618687200 is 278681616.

It is a happy number.

61618687200 is a `hidden beast` number, since 6 + 1 + 618 + 6 + 8 + 7 + 20 + 0 = 666.

It is a super-2 number, since 2×61618687200² (a number of 22 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 255679080 + ... + 255679320.

It is an arithmetic number, because the mean of its divisors is an integer number (236313000).

Almost surely, 2^61618687200 is an apocalyptic number.

61618687200 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 61618687200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136116288000).

61618687200 is an abundant number, since it is smaller than the sum of its proper divisors (210613888800).

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

61618687200 is a wasteful number, since it uses less digits than its factorization.

61618687200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 61618687200 in words is "sixty-one billion, six hundred eighteen million, six hundred eighty-seven thousand, two hundred".