961624817500 has 120 divisors (see below), whose sum is σ = 2260661356800. Its totient is φ = 356651064000.

The previous prime is 961624817477. The next prime is 961624817509. The reversal of 961624817500 is 5718426169.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961624817509) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2017131 + ... + 2447869.

It is an arithmetic number, because the mean of its divisors is an integer number (18838844640).

Almost surely, 2^961624817500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961624817500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130330678400).

961624817500 is an abundant number, since it is smaller than the sum of its proper divisors (1299036539300).

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

961624817500 is a wasteful number, since it uses less digits than its factorization.

961624817500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430829 (or 430812 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 961624817500 in words is "nine hundred sixty-one billion, six hundred twenty-four million, eight hundred seventeen thousand, five hundred".