61628313600 has 936 divisors, whose sum is σ = 259535701152. Its totient is φ = 13683916800.

The previous prime is 61628313581. The next prime is 61628313601. The reversal of 61628313600 is 631382616.

61628313600 is a `hidden beast` number, since 6 + 16 + 2 + 8 + 31 + 3 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61628313601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 264499084 + ... + 264499316.

It is an arithmetic number, because the mean of its divisors is an integer number (277281732).

Almost surely, 2^61628313600 is an apocalyptic number.

61628313600 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 61628313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129767850576).

61628313600 is an abundant number, since it is smaller than the sum of its proper divisors (197907387552).

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

61628313600 is a wasteful number, since it uses less digits than its factorization.

61628313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 61628313600 in words is "sixty-one billion, six hundred twenty-eight million, three hundred thirteen thousand, six hundred".