61373168640 has 968 divisors, whose sum is σ = 261084860640. Its totient is φ = 13544423424.

The previous prime is 61373168629. The next prime is 61373168657. The reversal of 61373168640 is 4686137316.

61373168640 is a `hidden beast` number, since 61 + 373 + 168 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 2116316146 + ... + 2116316174.

Almost surely, 2^61373168640 is an apocalyptic number.

61373168640 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 61373168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130542430320).

61373168640 is an abundant number, since it is smaller than the sum of its proper divisors (199711692000).

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

61373168640 is an frugal number, since it uses more digits than its factorization.

61373168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 61373168640 in words is "sixty-one billion, three hundred seventy-three million, one hundred sixty-eight thousand, six hundred forty".