61643450325600 has 3456 divisors, whose sum is σ = 285146524454400. Its totient is φ = 12635191296000.

The previous prime is 61643450325563. The next prime is 61643450325757. The reversal of 61643450325600 is 652305434616.

61643450325600 is a `hidden beast` number, since 6 + 1 + 6 + 4 + 3 + 4 + 5 + 0 + 32 + 5 + 600 = 666.

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 575 ways as a sum of consecutive naturals, for example, 56398398654 + ... + 56398399746.

It is an arithmetic number, because the mean of its divisors is an integer number (82507674900).

Almost surely, 2^{61643450325600} is an apocalyptic number.

61643450325600 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 61643450325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142573262227200).

61643450325600 is an abundant number, since it is smaller than the sum of its proper divisors (223503074128800).

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

61643450325600 is a wasteful number, since it uses less digits than its factorization.

61643450325600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 61643450325600 in words is "sixty-one trillion, six hundred forty-three billion, four hundred fifty million, three hundred twenty-five thousand, six hundred".