961917603840 has 208 divisors, whose sum is σ = 3419735947200. Its totient is φ = 256511213568.

The previous prime is 961917603793. The next prime is 961917603869. The reversal of 961917603840 is 48306719169.

961917603840 is a `hidden beast` number, since 9 + 6 + 19 + 17 + 603 + 8 + 4 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316830 + ... + 1422749.

Almost surely, 2^961917603840 is an apocalyptic number.

961917603840 is a gapful number since it is divisible by the number (90) 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 961917603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709867973600).

961917603840 is an abundant number, since it is smaller than the sum of its proper divisors (2457818343360).

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

961917603840 is a wasteful number, since it uses less digits than its factorization.

961917603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739617 (or 1739589 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 961917603840 in words is "nine hundred sixty-one billion, nine hundred seventeen million, six hundred three thousand, eight hundred forty".