61801438618080 has 3840 divisors, whose sum is σ = 281473027799040. Its totient is φ = 12448830062592.

The previous prime is 61801438618079. The next prime is 61801438618093. The reversal of 61801438618080 is 8081683410816.

It is a happy number.

61801438618080 is a `hidden beast` number, since 6 + 1 + 8 + 0 + 1 + 4 + 386 + 180 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 218379641619 + ... + 218379641901.

It is an arithmetic number, because the mean of its divisors is an integer number (73300267656).

Almost surely, 2^{61801438618080} is an apocalyptic number.

61801438618080 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 61801438618080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140736513899520).

61801438618080 is an abundant number, since it is smaller than the sum of its proper divisors (219671589180960).

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

61801438618080 is a wasteful number, since it uses less digits than its factorization.

61801438618080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 61801438618080 in words is "sixty-one trillion, eight hundred one billion, four hundred thirty-eight million, six hundred eighteen thousand, eighty".