61626641366304 has 576 divisors, whose sum is σ = 215029293736320. Its totient is φ = 17108770129920.

The previous prime is 61626641366281. The next prime is 61626641366309. The reversal of 61626641366304 is 40366314662616.

61626641366304 is a `hidden beast` number, since 6 + 1 + 6 + 266 + 4 + 13 + 66 + 304 = 666.

61626641366304 is digitally balanced in base 5, 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 (54).

It is not an unprimeable number, because it can be changed into a prime (61626641366309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1185763039 + ... + 1185815009.

It is an arithmetic number, because the mean of its divisors is an integer number (373314746070).

Almost surely, 2^{61626641366304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61626641366304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107514646868160).

61626641366304 is an abundant number, since it is smaller than the sum of its proper divisors (153402652370016).

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

61626641366304 is a wasteful number, since it uses less digits than its factorization.

61626641366304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52798 (or 52777 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 61626641366304 in words is "sixty-one trillion, six hundred twenty-six billion, six hundred forty-one million, three hundred sixty-six thousand, three hundred four".