961602969600 has 2520 divisors, whose sum is σ = 4498332735600. Its totient is φ = 202887659520.

The previous prime is 961602969577. The next prime is 961602969611. The reversal of 961602969600 is 6969206169.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

961602969600 is a `hidden beast` number, since 9 + 6 + 1 + 6 + 0 + 29 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×961602969600² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 73969459194 + ... + 73969459206.

Almost surely, 2^961602969600 is an apocalyptic number.

961602969600 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 961602969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249166367800).

961602969600 is an abundant number, since it is smaller than the sum of its proper divisors (3536729766000).

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

961602969600 is an equidigital number, since it uses as much as digits as its factorization.

961602969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 961602969600 in words is "nine hundred sixty-one billion, six hundred two million, nine hundred sixty-nine thousand, six hundred".