965626945920 has 2304 divisors, whose sum is σ = 4459565859840. Its totient is φ = 194387558400.

The previous prime is 965626945883. The next prime is 965626945961. The reversal of 965626945920 is 29549626569.

965626945920 is a `hidden beast` number, since 9 + 6 + 562 + 6 + 9 + 45 + 9 + 20 = 666.

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, 13600379485 + ... + 13600379555.

It is an arithmetic number, because the mean of its divisors is an integer number (1935575460).

Almost surely, 2^965626945920 is an apocalyptic number.

965626945920 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 965626945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229782929920).

965626945920 is an abundant number, since it is smaller than the sum of its proper divisors (3493938913920).

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

965626945920 is a wasteful number, since it uses less digits than its factorization.

965626945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 965626945920 in words is "nine hundred sixty-five billion, six hundred twenty-six million, nine hundred forty-five thousand, nine hundred twenty".