61446987840 has 336 divisors, whose sum is σ = 231783282432. Its totient is φ = 13745700864.

The previous prime is 61446987827. The next prime is 61446987853. The reversal of 61446987840 is 4878964416.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61446987827) and next prime (61446987853).

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2196984 + ... + 2224776.

Almost surely, 2^61446987840 is an apocalyptic number.

61446987840 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 61446987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115891641216).

61446987840 is an abundant number, since it is smaller than the sum of its proper divisors (170336294592).

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

61446987840 is a wasteful number, since it uses less digits than its factorization.

61446987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27874 (or 27857 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 61446987840 in words is "sixty-one billion, four hundred forty-six million, nine hundred eighty-seven thousand, eight hundred forty".