961708587840 has 2016 divisors, whose sum is σ = 4544235012096. Its totient is φ = 181235957760.

The previous prime is 961708587811. The next prime is 961708587859. The reversal of 961708587840 is 48785807169.

961708587840 is a `hidden beast` number, since 9 + 6 + 1 + 7 + 0 + 8 + 587 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2510988289 + ... + 2510988671.

Almost surely, 2^961708587840 is an apocalyptic number.

961708587840 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 961708587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272117506048).

961708587840 is an abundant number, since it is smaller than the sum of its proper divisors (3582526424256).

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

961708587840 is a wasteful number, since it uses less digits than its factorization.

961708587840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 961708587840 in words is "nine hundred sixty-one billion, seven hundred eight million, five hundred eighty-seven thousand, eight hundred forty".