61867005984 has 192 divisors, whose sum is σ = 206973446400. Its totient is φ = 17611997184.

The previous prime is 61867005953. The next prime is 61867006007. The reversal of 61867005984 is 48950076816.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61867005984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1656832 + ... + 1693760.

It is an arithmetic number, because the mean of its divisors is an integer number (1077986700).

Almost surely, 2^61867005984 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 61867005984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103486723200).

61867005984 is an abundant number, since it is smaller than the sum of its proper divisors (145106440416).

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

61867005984 is a wasteful number, since it uses less digits than its factorization.

61867005984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37232 (or 37218 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 61867005984 in words is "sixty-one billion, eight hundred sixty-seven million, five thousand, nine hundred eighty-four".