61964641059840 has 528 divisors, whose sum is σ = 225340938059328. Its totient is φ = 16324793892864.

The previous prime is 61964641059821. The next prime is 61964641059883. The reversal of 61964641059840 is 4895014646916.

It is a happy number.

61964641059840 is a `hidden beast` number, since 6 + 1 + 96 + 4 + 6 + 410 + 5 + 98 + 40 = 666.

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 47 ways as a sum of consecutive naturals, for example, 102965254 + ... + 103565306.

Almost surely, 2^{61964641059840} is an apocalyptic number.

61964641059840 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 61964641059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112670469029664).

61964641059840 is an abundant number, since it is smaller than the sum of its proper divisors (163376296999488).

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

61964641059840 is an equidigital number, since it uses as much as digits as its factorization.

61964641059840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600176 (or 600146 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 61964641059840 in words is "sixty-one trillion, nine hundred sixty-four billion, six hundred forty-one million, fifty-nine thousand, eight hundred forty".