61365105984 has 672 divisors, whose sum is σ = 211000018944. Its totient is φ = 15397724160.

The previous prime is 61365105929. The next prime is 61365106021. The reversal of 61365105984 is 48950156316.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 595777677 + ... + 595777779.

Almost surely, 2^61365105984 is an apocalyptic number.

61365105984 is a gapful number since it is divisible by the number (64) 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 61365105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105500009472).

61365105984 is an abundant number, since it is smaller than the sum of its proper divisors (149634912960).

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

61365105984 is a wasteful number, since it uses less digits than its factorization.

61365105984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 61365105984 in words is "sixty-one billion, three hundred sixty-five million, one hundred five thousand, nine hundred eighty-four".