61673806080 has 576 divisors, whose sum is σ = 228969861120. Its totient is φ = 15704285184.

The previous prime is 61673806063. The next prime is 61673806087. The reversal of 61673806080 is 8060837616.

61673806080 is a `hidden beast` number, since 6 + 1 + 6 + 7 + 38 + 0 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (61673806087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69845319 + ... + 69846201.

It is an arithmetic number, because the mean of its divisors is an integer number (397517120).

Almost surely, 2^61673806080 is an apocalyptic number.

61673806080 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 61673806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114484930560).

61673806080 is an abundant number, since it is smaller than the sum of its proper divisors (167296055040).

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

61673806080 is a wasteful number, since it uses less digits than its factorization.

61673806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 61673806080 in words is "sixty-one billion, six hundred seventy-three million, eight hundred six thousand, eighty".